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Finding the Fourth Proportional to 3,793.92, 5,687.15 and 1,817.27

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Solution

The fourth proportional to 3,793.92, 5,687.15 and 1,817.27 is: 2,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.92 : 5,687.15 = 1,817.27 : x
  2. Step 2: Convert to fraction form
    3,793.92/5,687.15 = 1,817.27/x
  3. Step 3: Cross multiply
    3,793.92x = 5,687.15 × 1,817.27
  4. Step 4: Simplify right side
    3,793.92x = 10,335,087.08
  5. Step 5: Solve for x
    x = 10,335,087.08/3,793.92
  6. Step 6: Final answer
    x = 2,724.12

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Why These Related Problems?

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