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Finding the Fourth Proportional to 5,972.62, 8,242.17 and 3,319.98

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Solution

The fourth proportional to 5,972.62, 8,242.17 and 3,319.98 is: 4,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.62 : 8,242.17 = 3,319.98 : x
  2. Step 2: Convert to fraction form
    5,972.62/8,242.17 = 3,319.98/x
  3. Step 3: Cross multiply
    5,972.62x = 8,242.17 × 3,319.98
  4. Step 4: Simplify right side
    5,972.62x = 27,363,839.56
  5. Step 5: Solve for x
    x = 27,363,839.56/5,972.62
  6. Step 6: Final answer
    x = 4,581.55

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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.