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Finding the Fourth Proportional to 5,306.80, 7,324.68 and 3,211.60

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Solution

The fourth proportional to 5,306.80, 7,324.68 and 3,211.60 is: 4,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.80 : 7,324.68 = 3,211.60 : x
  2. Step 2: Convert to fraction form
    5,306.80/7,324.68 = 3,211.60/x
  3. Step 3: Cross multiply
    5,306.80x = 7,324.68 × 3,211.60
  4. Step 4: Simplify right side
    5,306.80x = 23,523,942.29
  5. Step 5: Solve for x
    x = 23,523,942.29/5,306.80
  6. Step 6: Final answer
    x = 4,432.79

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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.