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Well George, 4 gb RAM is actually enough for all games out there and the most that a PC can use in one instance is 6 gb RAM (when you are doing hardcore stuff).

Since gaming is your concern, then it is on the Video card that you must concentrate on since it carries 75% of the workload in gaming and the remaining 25% is carried by the CPU.

Thus getting a good mid range GPU like an HD 6770 for mid range gaming or an HD 6870 / GTX 560 for high-max settings is a wise move.

But if yoyu already have a good GPU then upgrading your processor would be the best alternative, I just wanted to clear to you that having a 6-core cpu is useless in gaming since there are only a handful of games up until now that can use 4 cores altogether, thus for phenom II x 4 processors, the 980BE is your best shot. Just a sidenote, pls stay away from the FX cpu's, they are not good performers in gaming, even the phenom II x 4 cpu's are better than them.

I don't know, what do you have for graphics and what do you currently have for a CPU? The GPU carries most of the load when it comes to gaming not the processor.

I don't know about RAM but when changing your processesor, be VERY CAREFUL. Thereshould be a fan that is constantly cooling your processor. If you forget that fan, your fancy processor will melt down.

For your games I think you have to upgrade your RAM.