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Finding the Fourth Proportional to 3,734.38, 5,597.65 and 2,854.98

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Solution

The fourth proportional to 3,734.38, 5,597.65 and 2,854.98 is: 4,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.38 : 5,597.65 = 2,854.98 : x
  2. Step 2: Convert to fraction form
    3,734.38/5,597.65 = 2,854.98/x
  3. Step 3: Cross multiply
    3,734.38x = 5,597.65 × 2,854.98
  4. Step 4: Simplify right side
    3,734.38x = 15,981,178.80
  5. Step 5: Solve for x
    x = 15,981,178.80/3,734.38
  6. Step 6: Final answer
    x = 4,279.47

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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.