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Finding the Fourth Proportional to 3,689.28, 5,535.12 and 1,092.24

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Solution

The fourth proportional to 3,689.28, 5,535.12 and 1,092.24 is: 1,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.28 : 5,535.12 = 1,092.24 : x
  2. Step 2: Convert to fraction form
    3,689.28/5,535.12 = 1,092.24/x
  3. Step 3: Cross multiply
    3,689.28x = 5,535.12 × 1,092.24
  4. Step 4: Simplify right side
    3,689.28x = 6,045,679.47
  5. Step 5: Solve for x
    x = 6,045,679.47/3,689.28
  6. Step 6: Final answer
    x = 1,638.72

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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.