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Finding the Fourth Proportional to 3,753.85, 5,629.92 and 1,414.10

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Solution

The fourth proportional to 3,753.85, 5,629.92 and 1,414.10 is: 2,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.85 : 5,629.92 = 1,414.10 : x
  2. Step 2: Convert to fraction form
    3,753.85/5,629.92 = 1,414.10/x
  3. Step 3: Cross multiply
    3,753.85x = 5,629.92 × 1,414.10
  4. Step 4: Simplify right side
    3,753.85x = 7,961,269.87
  5. Step 5: Solve for x
    x = 7,961,269.87/3,753.85
  6. Step 6: Final answer
    x = 2,120.83

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