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Finding the Fourth Proportional to 4,159.28, 5,739.84 and 2,296.28

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Solution

The fourth proportional to 4,159.28, 5,739.84 and 2,296.28 is: 3,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.28 : 5,739.84 = 2,296.28 : x
  2. Step 2: Convert to fraction form
    4,159.28/5,739.84 = 2,296.28/x
  3. Step 3: Cross multiply
    4,159.28x = 5,739.84 × 2,296.28
  4. Step 4: Simplify right side
    4,159.28x = 13,180,279.80
  5. Step 5: Solve for x
    x = 13,180,279.80/4,159.28
  6. Step 6: Final answer
    x = 3,168.88

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