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Finding the Fourth Proportional to 3,854.89, 5,793.68 and 3,200.97

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Solution

The fourth proportional to 3,854.89, 5,793.68 and 3,200.97 is: 4,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.89 : 5,793.68 = 3,200.97 : x
  2. Step 2: Convert to fraction form
    3,854.89/5,793.68 = 3,200.97/x
  3. Step 3: Cross multiply
    3,854.89x = 5,793.68 × 3,200.97
  4. Step 4: Simplify right side
    3,854.89x = 18,545,375.00
  5. Step 5: Solve for x
    x = 18,545,375.00/3,854.89
  6. Step 6: Final answer
    x = 4,810.87

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1.5x scale

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.