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Finding the Fourth Proportional to 3,793.08, 5,691.72 and 1,454.64

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Solution

The fourth proportional to 3,793.08, 5,691.72 and 1,454.64 is: 2,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.08 : 5,691.72 = 1,454.64 : x
  2. Step 2: Convert to fraction form
    3,793.08/5,691.72 = 1,454.64/x
  3. Step 3: Cross multiply
    3,793.08x = 5,691.72 × 1,454.64
  4. Step 4: Simplify right side
    3,793.08x = 8,279,403.58
  5. Step 5: Solve for x
    x = 8,279,403.58/3,793.08
  6. Step 6: Final answer
    x = 2,182.77

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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.