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Finding the Fourth Proportional to 5,793.68, 8,691.24 and 2,095.44

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Solution

The fourth proportional to 5,793.68, 8,691.24 and 2,095.44 is: 3,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.68 : 8,691.24 = 2,095.44 : x
  2. Step 2: Convert to fraction form
    5,793.68/8,691.24 = 2,095.44/x
  3. Step 3: Cross multiply
    5,793.68x = 8,691.24 × 2,095.44
  4. Step 4: Simplify right side
    5,793.68x = 18,211,971.95
  5. Step 5: Solve for x
    x = 18,211,971.95/5,793.68
  6. Step 6: Final answer
    x = 3,143.42

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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.