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Finding the Fourth Proportional to 3,833.38, 5,738.92 and 2,850.56

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Solution

The fourth proportional to 3,833.38, 5,738.92 and 2,850.56 is: 4,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.38 : 5,738.92 = 2,850.56 : x
  2. Step 2: Convert to fraction form
    3,833.38/5,738.92 = 2,850.56/x
  3. Step 3: Cross multiply
    3,833.38x = 5,738.92 × 2,850.56
  4. Step 4: Simplify right side
    3,833.38x = 16,359,135.80
  5. Step 5: Solve for x
    x = 16,359,135.80/3,833.38
  6. Step 6: Final answer
    x = 4,267.55

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Why These Related Problems?

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