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Finding the Fourth Proportional to 3,517.52, 5,277 and 1,177.76

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Solution

The fourth proportional to 3,517.52, 5,277 and 1,177.76 is: 1,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.52 : 5,277 = 1,177.76 : x
  2. Step 2: Convert to fraction form
    3,517.52/5,277 = 1,177.76/x
  3. Step 3: Cross multiply
    3,517.52x = 5,277 × 1,177.76
  4. Step 4: Simplify right side
    3,517.52x = 6,215,039.52
  5. Step 5: Solve for x
    x = 6,215,039.52/3,517.52
  6. Step 6: Final answer
    x = 1,766.88

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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.