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Finding the Fourth Proportional to 5,772.62, 7,967.23 and 3,414.92

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Solution

The fourth proportional to 5,772.62, 7,967.23 and 3,414.92 is: 4,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.62 : 7,967.23 = 3,414.92 : x
  2. Step 2: Convert to fraction form
    5,772.62/7,967.23 = 3,414.92/x
  3. Step 3: Cross multiply
    5,772.62x = 7,967.23 × 3,414.92
  4. Step 4: Simplify right side
    5,772.62x = 27,207,404.70
  5. Step 5: Solve for x
    x = 27,207,404.70/5,772.62
  6. Step 6: Final answer
    x = 4,713.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.