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Finding the Fourth Proportional to 5,729.28, 7,906.32 and 3,211.56

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Solution

The fourth proportional to 5,729.28, 7,906.32 and 3,211.56 is: 4,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.28 : 7,906.32 = 3,211.56 : x
  2. Step 2: Convert to fraction form
    5,729.28/7,906.32 = 3,211.56/x
  3. Step 3: Cross multiply
    5,729.28x = 7,906.32 × 3,211.56
  4. Step 4: Simplify right side
    5,729.28x = 25,391,621.06
  5. Step 5: Solve for x
    x = 25,391,621.06/5,729.28
  6. Step 6: Final answer
    x = 4,431.90

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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.