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Finding the Fourth Proportional to 3,793.68, 5,680.88 and 3,175.84

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Solution

The fourth proportional to 3,793.68, 5,680.88 and 3,175.84 is: 4,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.68 : 5,680.88 = 3,175.84 : x
  2. Step 2: Convert to fraction form
    3,793.68/5,680.88 = 3,175.84/x
  3. Step 3: Cross multiply
    3,793.68x = 5,680.88 × 3,175.84
  4. Step 4: Simplify right side
    3,793.68x = 18,041,565.94
  5. Step 5: Solve for x
    x = 18,041,565.94/3,793.68
  6. Step 6: Final answer
    x = 4,755.69

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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.