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Finding the Fourth Proportional to 5,729.74, 7,906.82 and 3,211.35

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Solution

The fourth proportional to 5,729.74, 7,906.82 and 3,211.35 is: 4,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.74 : 7,906.82 = 3,211.35 : x
  2. Step 2: Convert to fraction form
    5,729.74/7,906.82 = 3,211.35/x
  3. Step 3: Cross multiply
    5,729.74x = 7,906.82 × 3,211.35
  4. Step 4: Simplify right side
    5,729.74x = 25,391,520.70
  5. Step 5: Solve for x
    x = 25,391,520.70/5,729.74
  6. Step 6: Final answer
    x = 4,431.53

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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.