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Finding the Fourth Proportional to 5,162.88, 7,744.49 and 3,166.22

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Solution

The fourth proportional to 5,162.88, 7,744.49 and 3,166.22 is: 4,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.88 : 7,744.49 = 3,166.22 : x
  2. Step 2: Convert to fraction form
    5,162.88/7,744.49 = 3,166.22/x
  3. Step 3: Cross multiply
    5,162.88x = 7,744.49 × 3,166.22
  4. Step 4: Simplify right side
    5,162.88x = 24,520,759.67
  5. Step 5: Solve for x
    x = 24,520,759.67/5,162.88
  6. Step 6: Final answer
    x = 4,749.43

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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.