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Finding the Fourth Proportional to 5,794.60, 8,691.48 and 1,634.52

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Solution

The fourth proportional to 5,794.60, 8,691.48 and 1,634.52 is: 2,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.60 : 8,691.48 = 1,634.52 : x
  2. Step 2: Convert to fraction form
    5,794.60/8,691.48 = 1,634.52/x
  3. Step 3: Cross multiply
    5,794.60x = 8,691.48 × 1,634.52
  4. Step 4: Simplify right side
    5,794.60x = 14,206,397.89
  5. Step 5: Solve for x
    x = 14,206,397.89/5,794.60
  6. Step 6: Final answer
    x = 2,451.66

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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.