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Finding the Fourth Proportional to 3,876.76, 5,343.87 and 3,171.52

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Solution

The fourth proportional to 3,876.76, 5,343.87 and 3,171.52 is: 4,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.76 : 5,343.87 = 3,171.52 : x
  2. Step 2: Convert to fraction form
    3,876.76/5,343.87 = 3,171.52/x
  3. Step 3: Cross multiply
    3,876.76x = 5,343.87 × 3,171.52
  4. Step 4: Simplify right side
    3,876.76x = 16,948,190.58
  5. Step 5: Solve for x
    x = 16,948,190.58/3,876.76
  6. Step 6: Final answer
    x = 4,371.74

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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.