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Finding the Fourth Proportional to 3,609.92, 5,414.19 and 1,759.17

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Solution

The fourth proportional to 3,609.92, 5,414.19 and 1,759.17 is: 2,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.92 : 5,414.19 = 1,759.17 : x
  2. Step 2: Convert to fraction form
    3,609.92/5,414.19 = 1,759.17/x
  3. Step 3: Cross multiply
    3,609.92x = 5,414.19 × 1,759.17
  4. Step 4: Simplify right side
    3,609.92x = 9,524,473.77
  5. Step 5: Solve for x
    x = 9,524,473.77/3,609.92
  6. Step 6: Final answer
    x = 2,638.42

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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.