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Finding the Fourth Proportional to 3,734.52, 5,152.71 and 2,371.29

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Solution

The fourth proportional to 3,734.52, 5,152.71 and 2,371.29 is: 3,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.52 : 5,152.71 = 2,371.29 : x
  2. Step 2: Convert to fraction form
    3,734.52/5,152.71 = 2,371.29/x
  3. Step 3: Cross multiply
    3,734.52x = 5,152.71 × 2,371.29
  4. Step 4: Simplify right side
    3,734.52x = 12,218,591.62
  5. Step 5: Solve for x
    x = 12,218,591.62/3,734.52
  6. Step 6: Final answer
    x = 3,271.79

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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.