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Finding the Fourth Proportional to 3,793.96, 5,693.10 and 3,029.32

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Solution

The fourth proportional to 3,793.96, 5,693.10 and 3,029.32 is: 4,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.96 : 5,693.10 = 3,029.32 : x
  2. Step 2: Convert to fraction form
    3,793.96/5,693.10 = 3,029.32/x
  3. Step 3: Cross multiply
    3,793.96x = 5,693.10 × 3,029.32
  4. Step 4: Simplify right side
    3,793.96x = 17,246,221.69
  5. Step 5: Solve for x
    x = 17,246,221.69/3,793.96
  6. Step 6: Final answer
    x = 4,545.70

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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.