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Finding the Fourth Proportional to 3,997.67, 5,523.56 and 2,876.39

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Solution

The fourth proportional to 3,997.67, 5,523.56 and 2,876.39 is: 3,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.67 : 5,523.56 = 2,876.39 : x
  2. Step 2: Convert to fraction form
    3,997.67/5,523.56 = 2,876.39/x
  3. Step 3: Cross multiply
    3,997.67x = 5,523.56 × 2,876.39
  4. Step 4: Simplify right side
    3,997.67x = 15,887,912.75
  5. Step 5: Solve for x
    x = 15,887,912.75/3,997.67
  6. Step 6: Final answer
    x = 3,974.29

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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.