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Finding the Fourth Proportional to 3,753.14, 5,630.31 and 1,288.04

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Solution

The fourth proportional to 3,753.14, 5,630.31 and 1,288.04 is: 1,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.14 : 5,630.31 = 1,288.04 : x
  2. Step 2: Convert to fraction form
    3,753.14/5,630.31 = 1,288.04/x
  3. Step 3: Cross multiply
    3,753.14x = 5,630.31 × 1,288.04
  4. Step 4: Simplify right side
    3,753.14x = 7,252,036.34
  5. Step 5: Solve for x
    x = 7,252,036.34/3,753.14
  6. Step 6: Final answer
    x = 1,932.26

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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.