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Finding the Fourth Proportional to 4,082.97, 6,119.29 and 2,002.48

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Solution

The fourth proportional to 4,082.97, 6,119.29 and 2,002.48 is: 3,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.97 : 6,119.29 = 2,002.48 : x
  2. Step 2: Convert to fraction form
    4,082.97/6,119.29 = 2,002.48/x
  3. Step 3: Cross multiply
    4,082.97x = 6,119.29 × 2,002.48
  4. Step 4: Simplify right side
    4,082.97x = 12,253,766.13
  5. Step 5: Solve for x
    x = 12,253,766.13/4,082.97
  6. Step 6: Final answer
    x = 3,001.19

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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.