Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 4 units of good X and 4 units of good Y. Consumer B is given an initial endowment of 4 units of good X and 4 units of good Y. Consumer A's utility function is given by:

U_A(X,Y) = X⁵*Y,

and consumer B's utility function is given by

U_B(X,Y) = X*Y.

Therefore, consumer A's marginal utilities for each good are given by:

MU_X =5X⁴Y

MU_Y = X⁵

Also, consumer B's marginal utilities for each good are given by:

MU_X = Y

MU_Y = X

Suppose the price of good Y is equal to one. What price of good X will lead to a competitive equilibrium? Please round your answer to 4 decimal places.