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Finding the Fourth Proportional to 3,856.89, 5,796.68 and 3,202.97

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Solution

The fourth proportional to 3,856.89, 5,796.68 and 3,202.97 is: 4,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.89 : 5,796.68 = 3,202.97 : x
  2. Step 2: Convert to fraction form
    3,856.89/5,796.68 = 3,202.97/x
  3. Step 3: Cross multiply
    3,856.89x = 5,796.68 × 3,202.97
  4. Step 4: Simplify right side
    3,856.89x = 18,566,592.14
  5. Step 5: Solve for x
    x = 18,566,592.14/3,856.89
  6. Step 6: Final answer
    x = 4,813.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.