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Finding the Fourth Proportional to 3,753.42, 5,630.13 and 1,288.14

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Solution

The fourth proportional to 3,753.42, 5,630.13 and 1,288.14 is: 1,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.42 : 5,630.13 = 1,288.14 : x
  2. Step 2: Convert to fraction form
    3,753.42/5,630.13 = 1,288.14/x
  3. Step 3: Cross multiply
    3,753.42x = 5,630.13 × 1,288.14
  4. Step 4: Simplify right side
    3,753.42x = 7,252,395.66
  5. Step 5: Solve for x
    x = 7,252,395.66/3,753.42
  6. Step 6: Final answer
    x = 1,932.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.