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Finding the Fourth Proportional to 5,729.31, 7,906.42 and 3,211.42

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Solution

The fourth proportional to 5,729.31, 7,906.42 and 3,211.42 is: 4,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.31 : 7,906.42 = 3,211.42 : x
  2. Step 2: Convert to fraction form
    5,729.31/7,906.42 = 3,211.42/x
  3. Step 3: Cross multiply
    5,729.31x = 7,906.42 × 3,211.42
  4. Step 4: Simplify right side
    5,729.31x = 25,390,819.56
  5. Step 5: Solve for x
    x = 25,390,819.56/5,729.31
  6. Step 6: Final answer
    x = 4,431.74

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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.