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Finding the Fourth Proportional to 3,961.89, 5,943.17 and 1,882.87

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Solution

The fourth proportional to 3,961.89, 5,943.17 and 1,882.87 is: 2,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.89 : 5,943.17 = 1,882.87 : x
  2. Step 2: Convert to fraction form
    3,961.89/5,943.17 = 1,882.87/x
  3. Step 3: Cross multiply
    3,961.89x = 5,943.17 × 1,882.87
  4. Step 4: Simplify right side
    3,961.89x = 11,190,223.06
  5. Step 5: Solve for x
    x = 11,190,223.06/3,961.89
  6. Step 6: Final answer
    x = 2,824.47

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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.