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Finding the Fourth Proportional to 3,874.08, 5,836.97 and 3,504.31

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Solution

The fourth proportional to 3,874.08, 5,836.97 and 3,504.31 is: 5,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.08 : 5,836.97 = 3,504.31 : x
  2. Step 2: Convert to fraction form
    3,874.08/5,836.97 = 3,504.31/x
  3. Step 3: Cross multiply
    3,874.08x = 5,836.97 × 3,504.31
  4. Step 4: Simplify right side
    3,874.08x = 20,454,552.34
  5. Step 5: Solve for x
    x = 20,454,552.34/3,874.08
  6. Step 6: Final answer
    x = 5,279.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.