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Finding the Fourth Proportional to 3,732.38, 5,598.11 and 1,267.14

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Solution

The fourth proportional to 3,732.38, 5,598.11 and 1,267.14 is: 1,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.38 : 5,598.11 = 1,267.14 : x
  2. Step 2: Convert to fraction form
    3,732.38/5,598.11 = 1,267.14/x
  3. Step 3: Cross multiply
    3,732.38x = 5,598.11 × 1,267.14
  4. Step 4: Simplify right side
    3,732.38x = 7,093,613.27
  5. Step 5: Solve for x
    x = 7,093,613.27/3,732.38
  6. Step 6: Final answer
    x = 1,900.56

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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.