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Finding the Fourth Proportional to 5,744.92, 8,615.54 and 2,234.70

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Solution

The fourth proportional to 5,744.92, 8,615.54 and 2,234.70 is: 3,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.92 : 8,615.54 = 2,234.70 : x
  2. Step 2: Convert to fraction form
    5,744.92/8,615.54 = 2,234.70/x
  3. Step 3: Cross multiply
    5,744.92x = 8,615.54 × 2,234.70
  4. Step 4: Simplify right side
    5,744.92x = 19,253,147.24
  5. Step 5: Solve for x
    x = 19,253,147.24/5,744.92
  6. Step 6: Final answer
    x = 3,351.33

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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.