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Finding the Fourth Proportional to 3,689.41, 5,534.13 and 1,092.55

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Solution

The fourth proportional to 3,689.41, 5,534.13 and 1,092.55 is: 1,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.41 : 5,534.13 = 1,092.55 : x
  2. Step 2: Convert to fraction form
    3,689.41/5,534.13 = 1,092.55/x
  3. Step 3: Cross multiply
    3,689.41x = 5,534.13 × 1,092.55
  4. Step 4: Simplify right side
    3,689.41x = 6,046,313.73
  5. Step 5: Solve for x
    x = 6,046,313.73/3,689.41
  6. Step 6: Final answer
    x = 1,638.83

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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.