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Finding the Fourth Proportional to 3,892.59, 5,371.43 and 2,299.32

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Solution

The fourth proportional to 3,892.59, 5,371.43 and 2,299.32 is: 3,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.59 : 5,371.43 = 2,299.32 : x
  2. Step 2: Convert to fraction form
    3,892.59/5,371.43 = 2,299.32/x
  3. Step 3: Cross multiply
    3,892.59x = 5,371.43 × 2,299.32
  4. Step 4: Simplify right side
    3,892.59x = 12,350,624.93
  5. Step 5: Solve for x
    x = 12,350,624.93/3,892.59
  6. Step 6: Final answer
    x = 3,172.86

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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.