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Finding the Fourth Proportional to 3,793.62, 5,235.48 and 2,200.71

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Solution

The fourth proportional to 3,793.62, 5,235.48 and 2,200.71 is: 3,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.62 : 5,235.48 = 2,200.71 : x
  2. Step 2: Convert to fraction form
    3,793.62/5,235.48 = 2,200.71/x
  3. Step 3: Cross multiply
    3,793.62x = 5,235.48 × 2,200.71
  4. Step 4: Simplify right side
    3,793.62x = 11,521,773.19
  5. Step 5: Solve for x
    x = 11,521,773.19/3,793.62
  6. Step 6: Final answer
    x = 3,037.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.