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Finding the Fourth Proportional to 5,765.40, 7,956.42 and 3,247.44

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Solution

The fourth proportional to 5,765.40, 7,956.42 and 3,247.44 is: 4,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.40 : 7,956.42 = 3,247.44 : x
  2. Step 2: Convert to fraction form
    5,765.40/7,956.42 = 3,247.44/x
  3. Step 3: Cross multiply
    5,765.40x = 7,956.42 × 3,247.44
  4. Step 4: Simplify right side
    5,765.40x = 25,837,996.56
  5. Step 5: Solve for x
    x = 25,837,996.56/5,765.40
  6. Step 6: Final answer
    x = 4,481.56

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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.