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Finding the Fourth Proportional to 5,154.56, 7,731.52 and 1,457.28

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Solution

The fourth proportional to 5,154.56, 7,731.52 and 1,457.28 is: 2,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.56 : 7,731.52 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    5,154.56/7,731.52 = 1,457.28/x
  3. Step 3: Cross multiply
    5,154.56x = 7,731.52 × 1,457.28
  4. Step 4: Simplify right side
    5,154.56x = 11,266,989.47
  5. Step 5: Solve for x
    x = 11,266,989.47/5,154.56
  6. Step 6: Final answer
    x = 2,185.83

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