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Finding the Fourth Proportional to 3,189.38, 4,401.81 and 1,863.81

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Solution

The fourth proportional to 3,189.38, 4,401.81 and 1,863.81 is: 2,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.38 : 4,401.81 = 1,863.81 : x
  2. Step 2: Convert to fraction form
    3,189.38/4,401.81 = 1,863.81/x
  3. Step 3: Cross multiply
    3,189.38x = 4,401.81 × 1,863.81
  4. Step 4: Simplify right side
    3,189.38x = 8,204,137.50
  5. Step 5: Solve for x
    x = 8,204,137.50/3,189.38
  6. Step 6: Final answer
    x = 2,572.33

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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.