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Finding the Fourth Proportional to 3,734.32, 5,150.70 and 3,170.88

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Solution

The fourth proportional to 3,734.32, 5,150.70 and 3,170.88 is: 4,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.32 : 5,150.70 = 3,170.88 : x
  2. Step 2: Convert to fraction form
    3,734.32/5,150.70 = 3,170.88/x
  3. Step 3: Cross multiply
    3,734.32x = 5,150.70 × 3,170.88
  4. Step 4: Simplify right side
    3,734.32x = 16,332,251.62
  5. Step 5: Solve for x
    x = 16,332,251.62/3,734.32
  6. Step 6: Final answer
    x = 4,373.55

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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.