Remember the whole point of bare shaft tuning and broadhead tuning is to get both the bare shafts, the broad heads, and the fletched field points all hitting in the same spot. That may or may not be where "you are looking", especially if it's a new bow. That 4" left may be where you are actually aimed.
If, once you are tuned, and you feel like you are still hitting left of where you want, it might be a form issue. Make sure the arrow is directly under your dominant eye. That might mean canting your body more to the right.
Also, make sure your anchor point is tight to your cheek. Having your hand float out from your face will cause a left miss, too.