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Finding the Fourth Proportional to 4,972.29, 6,861.96 and 2,982.12

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Solution

The fourth proportional to 4,972.29, 6,861.96 and 2,982.12 is: 4,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.29 : 6,861.96 = 2,982.12 : x
  2. Step 2: Convert to fraction form
    4,972.29/6,861.96 = 2,982.12/x
  3. Step 3: Cross multiply
    4,972.29x = 6,861.96 × 2,982.12
  4. Step 4: Simplify right side
    4,972.29x = 20,463,188.16
  5. Step 5: Solve for x
    x = 20,463,188.16/4,972.29
  6. Step 6: Final answer
    x = 4,115.45

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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.