In a perfect world, you'd just be able to remove the Intel CPU and replace it with a more efficient AMD CPU...... but alas, the connection (socket) for the two CPU's is totally different. You'd need a new motherboard. So, unless you're ready to buy a new motherboard, we won't go there.

But do check with your bios, to make sure your CPU is not overclocked.

Try this:
Remove the plastic face plate of your PC and get down to the steel frame. Now, see if there is any place in that frame for an extra fan. (like in the picture I sent you, of my own CASE).

Probably not, but it's sure worth the effort.

I've seen Hard Drives mounted like that and they usually run HOT!
I cool all my own HD's with two-fan coolers. Like this:

People who have tried this technique, just love it.
Even the highest performance, 10,000 rpm drives stay as cool as a cucumber.

The 1/4" brass spacers eliminate the "Air-Dam" that's created if you mount the cooler directly to the bottom of the drive, greatly increasing air flow and subsequently the drive COOLING.
Regardless of duty cycle, the drives will remain at room temperature, eliminating the expansion and contraction cycle that a drive normally goes through, during a normal days work.
That expansion and contraction will EVENTUALLY tear a drive apart.

In that side panel, there is an excellent place for a 5" fan. Think about the possibilities.
Your new PSU will surely have enough power to drive some extra fans.

Y'all have a great day now, Y'hear?
Shadow OK. I am beginning to think it may not be running hot. Today it shut down while I had the case open. My VC card has never gone over 70 degrees C.

The screen went into "sleep mode" and I REACHED over and turned it off. When went to turn it on it just power button blinked (the computer did not start) and I COULD hear a clicking noise from inside the computer. Well I REALIZED that the clicking noise was the CD drive clicking. I touched the bundle of wires coming from the PSU and motherboard and then the fans started clicking and "trying" to start up. I sort of wiggled these cables and the light turned off.

I have NO idea what to do.Are you sure that's not a Dell?

That's typical of a failing Dell.

Go through it and re-seat every cable.

Then take out the ram, clean the edge connectors and replace the ram.
All this, of course with the power cord unplugged.

Shadow And then borrow a PSU of the same wattage or greater and swap it in there overnight to see if that's the culprit...
Right now i suspect it is...