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Finding the Fourth Proportional to 3,793.92, 5,234.10 and 2,301.29

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Solution

The fourth proportional to 3,793.92, 5,234.10 and 2,301.29 is: 3,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.92 : 5,234.10 = 2,301.29 : x
  2. Step 2: Convert to fraction form
    3,793.92/5,234.10 = 2,301.29/x
  3. Step 3: Cross multiply
    3,793.92x = 5,234.10 × 2,301.29
  4. Step 4: Simplify right side
    3,793.92x = 12,045,181.99
  5. Step 5: Solve for x
    x = 12,045,181.99/3,793.92
  6. Step 6: Final answer
    x = 3,174.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.