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If I see someone push 3 consecutive hands, I mentally discount the possibility that he got 3 straight premium hands and adjust my calling range accordingly.

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The hands he holds on the three previous deals do not affect the cards he gets in the 4th instance.

This is sort of like saying that when you flip a coin three times and get all heads, that the coin is due for a tails on the 4th flip.

The fact that he has pushed three times in a row, might lead you to believe that his range is wider than you had previously thought, but it certainly doesn't affect what cards he is dealt the 4th time.

And, if what people are saying in this thread is true, after 3 consecutive pushes from an opponent, you ought to tighten his range for the 4th push because he is likely to be taking it in a notch due to the perception that he is pushing frequently.