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Finding the Fourth Proportional to 3,247.68, 4,865.96 and 2,731.02

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Solution

The fourth proportional to 3,247.68, 4,865.96 and 2,731.02 is: 4,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.68 : 4,865.96 = 2,731.02 : x
  2. Step 2: Convert to fraction form
    3,247.68/4,865.96 = 2,731.02/x
  3. Step 3: Cross multiply
    3,247.68x = 4,865.96 × 2,731.02
  4. Step 4: Simplify right side
    3,247.68x = 13,289,034.08
  5. Step 5: Solve for x
    x = 13,289,034.08/3,247.68
  6. Step 6: Final answer
    x = 4,091.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.