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Finding the Fourth Proportional to 5,732.56, 7,916.40 and 3,747.86

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Solution

The fourth proportional to 5,732.56, 7,916.40 and 3,747.86 is: 5,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.56 : 7,916.40 = 3,747.86 : x
  2. Step 2: Convert to fraction form
    5,732.56/7,916.40 = 3,747.86/x
  3. Step 3: Cross multiply
    5,732.56x = 7,916.40 × 3,747.86
  4. Step 4: Simplify right side
    5,732.56x = 29,669,558.90
  5. Step 5: Solve for x
    x = 29,669,558.90/5,732.56
  6. Step 6: Final answer
    x = 5,175.62

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