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Finding the Fourth Proportional to 3,189.92, 4,402.12 and 1,863.38

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Solution

The fourth proportional to 3,189.92, 4,402.12 and 1,863.38 is: 2,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.92 : 4,402.12 = 1,863.38 : x
  2. Step 2: Convert to fraction form
    3,189.92/4,402.12 = 1,863.38/x
  3. Step 3: Cross multiply
    3,189.92x = 4,402.12 × 1,863.38
  4. Step 4: Simplify right side
    3,189.92x = 8,202,795.70
  5. Step 5: Solve for x
    x = 8,202,795.70/3,189.92
  6. Step 6: Final answer
    x = 2,571.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.