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Finding the Fourth Proportional to 5,233.62, 7,850.07 and 2,462.70

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Solution

The fourth proportional to 5,233.62, 7,850.07 and 2,462.70 is: 3,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.62 : 7,850.07 = 2,462.70 : x
  2. Step 2: Convert to fraction form
    5,233.62/7,850.07 = 2,462.70/x
  3. Step 3: Cross multiply
    5,233.62x = 7,850.07 × 2,462.70
  4. Step 4: Simplify right side
    5,233.62x = 19,332,367.39
  5. Step 5: Solve for x
    x = 19,332,367.39/5,233.62
  6. Step 6: Final answer
    x = 3,693.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.