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Finding the Fourth Proportional to 5,449.67, 7,517.76 and 3,211.44

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Solution

The fourth proportional to 5,449.67, 7,517.76 and 3,211.44 is: 4,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.67 : 7,517.76 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    5,449.67/7,517.76 = 3,211.44/x
  3. Step 3: Cross multiply
    5,449.67x = 7,517.76 × 3,211.44
  4. Step 4: Simplify right side
    5,449.67x = 24,142,835.17
  5. Step 5: Solve for x
    x = 24,142,835.17/5,449.67
  6. Step 6: Final answer
    x = 4,430.15

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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.