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Finding the Fourth Proportional to 4,876.39, 6,729.38 and 2,638.25

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Solution

The fourth proportional to 4,876.39, 6,729.38 and 2,638.25 is: 3,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.39 : 6,729.38 = 2,638.25 : x
  2. Step 2: Convert to fraction form
    4,876.39/6,729.38 = 2,638.25/x
  3. Step 3: Cross multiply
    4,876.39x = 6,729.38 × 2,638.25
  4. Step 4: Simplify right side
    4,876.39x = 17,753,827.77
  5. Step 5: Solve for x
    x = 17,753,827.77/4,876.39
  6. Step 6: Final answer
    x = 3,640.78

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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.