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Finding the Fourth Proportional to 4,132.64, 5,700.88 and 2,734.88

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Solution

The fourth proportional to 4,132.64, 5,700.88 and 2,734.88 is: 3,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.64 : 5,700.88 = 2,734.88 : x
  2. Step 2: Convert to fraction form
    4,132.64/5,700.88 = 2,734.88/x
  3. Step 3: Cross multiply
    4,132.64x = 5,700.88 × 2,734.88
  4. Step 4: Simplify right side
    4,132.64x = 15,591,222.69
  5. Step 5: Solve for x
    x = 15,591,222.69/4,132.64
  6. Step 6: Final answer
    x = 3,772.70

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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.