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Finding the Fourth Proportional to 3,887.62, 5,842.67 and 3,233.54

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Solution

The fourth proportional to 3,887.62, 5,842.67 and 3,233.54 is: 4,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.62 : 5,842.67 = 3,233.54 : x
  2. Step 2: Convert to fraction form
    3,887.62/5,842.67 = 3,233.54/x
  3. Step 3: Cross multiply
    3,887.62x = 5,842.67 × 3,233.54
  4. Step 4: Simplify right side
    3,887.62x = 18,892,505.59
  5. Step 5: Solve for x
    x = 18,892,505.59/3,887.62
  6. Step 6: Final answer
    x = 4,859.66

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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.