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Can you play up on the "now you are the biggest" as in give her the role her older sister takes at home. Let her make some decisions like what story should you read, should you get out the mega blocks or the bristle blocks, give her responsibilities. If she wants to hang around you then she has to do what you are doing. Not fair that you have to do what she wants to do all the time.
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It certainly seems like she's trying to manipulate you as much as possible to see how powerful she can be in her new environment. 4 year olds are very, very clever and you have to take charge from the beginning. I agree with Judy that if you leave her alone and don't buy into her game she will get bored of trying to get your full attention and will start to play with some things. I bet she'll give up within a week if you just acknowledge her and encourage her with words but don't fall into her little trap.