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Finding the Fourth Proportional to 3,793.80, 5,234.56 and 2,301.42

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Solution

The fourth proportional to 3,793.80, 5,234.56 and 2,301.42 is: 3,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.80 : 5,234.56 = 2,301.42 : x
  2. Step 2: Convert to fraction form
    3,793.80/5,234.56 = 2,301.42/x
  3. Step 3: Cross multiply
    3,793.80x = 5,234.56 × 2,301.42
  4. Step 4: Simplify right side
    3,793.80x = 12,046,921.08
  5. Step 5: Solve for x
    x = 12,046,921.08/3,793.80
  6. Step 6: Final answer
    x = 3,175.42

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