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Finding the Fourth Proportional to 3,785.38, 5,223.84 and 2,213.17

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Solution

The fourth proportional to 3,785.38, 5,223.84 and 2,213.17 is: 3,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.38 : 5,223.84 = 2,213.17 : x
  2. Step 2: Convert to fraction form
    3,785.38/5,223.84 = 2,213.17/x
  3. Step 3: Cross multiply
    3,785.38x = 5,223.84 × 2,213.17
  4. Step 4: Simplify right side
    3,785.38x = 11,561,245.97
  5. Step 5: Solve for x
    x = 11,561,245.97/3,785.38
  6. Step 6: Final answer
    x = 3,054.18

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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.