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Finding the Fourth Proportional to 3,997.46, 5,517.02 and 2,882.09

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Solution

The fourth proportional to 3,997.46, 5,517.02 and 2,882.09 is: 3,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.46 : 5,517.02 = 2,882.09 : x
  2. Step 2: Convert to fraction form
    3,997.46/5,517.02 = 2,882.09/x
  3. Step 3: Cross multiply
    3,997.46x = 5,517.02 × 2,882.09
  4. Step 4: Simplify right side
    3,997.46x = 15,900,569.17
  5. Step 5: Solve for x
    x = 15,900,569.17/3,997.46
  6. Step 6: Final answer
    x = 3,977.67

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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.