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Finding the Fourth Proportional to 3,732.70, 5,585.36 and 3,114.88

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Solution

The fourth proportional to 3,732.70, 5,585.36 and 3,114.88 is: 4,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.70 : 5,585.36 = 3,114.88 : x
  2. Step 2: Convert to fraction form
    3,732.70/5,585.36 = 3,114.88/x
  3. Step 3: Cross multiply
    3,732.70x = 5,585.36 × 3,114.88
  4. Step 4: Simplify right side
    3,732.70x = 17,397,710.58
  5. Step 5: Solve for x
    x = 17,397,710.58/3,732.70
  6. Step 6: Final answer
    x = 4,660.89

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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.