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Finding the Fourth Proportional to 3,581.92, 4,940.42 and 2,089.75

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Solution

The fourth proportional to 3,581.92, 4,940.42 and 2,089.75 is: 2,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.92 : 4,940.42 = 2,089.75 : x
  2. Step 2: Convert to fraction form
    3,581.92/4,940.42 = 2,089.75/x
  3. Step 3: Cross multiply
    3,581.92x = 4,940.42 × 2,089.75
  4. Step 4: Simplify right side
    3,581.92x = 10,324,235.04
  5. Step 5: Solve for x
    x = 10,324,235.04/3,581.92
  6. Step 6: Final answer
    x = 2,882.32

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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.