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Finding the Fourth Proportional to 3,767.38, 5,198.86 and 2,088.86

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Solution

The fourth proportional to 3,767.38, 5,198.86 and 2,088.86 is: 2,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.38 : 5,198.86 = 2,088.86 : x
  2. Step 2: Convert to fraction form
    3,767.38/5,198.86 = 2,088.86/x
  3. Step 3: Cross multiply
    3,767.38x = 5,198.86 × 2,088.86
  4. Step 4: Simplify right side
    3,767.38x = 10,859,690.70
  5. Step 5: Solve for x
    x = 10,859,690.70/3,767.38
  6. Step 6: Final answer
    x = 2,882.56

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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.