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Finding the Fourth Proportional to 3,689.89, 5,534.82 and 1,092.83

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Solution

The fourth proportional to 3,689.89, 5,534.82 and 1,092.83 is: 1,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.89 : 5,534.82 = 1,092.83 : x
  2. Step 2: Convert to fraction form
    3,689.89/5,534.82 = 1,092.83/x
  3. Step 3: Cross multiply
    3,689.89x = 5,534.82 × 1,092.83
  4. Step 4: Simplify right side
    3,689.89x = 6,048,589.67
  5. Step 5: Solve for x
    x = 6,048,589.67/3,689.89
  6. Step 6: Final answer
    x = 1,639.23

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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.