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Finding the Fourth Proportional to 4,839, 6,677.82 and 2,743.26

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Solution

The fourth proportional to 4,839, 6,677.82 and 2,743.26 is: 3,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839 : 6,677.82 = 2,743.26 : x
  2. Step 2: Convert to fraction form
    4,839/6,677.82 = 2,743.26/x
  3. Step 3: Cross multiply
    4,839x = 6,677.82 × 2,743.26
  4. Step 4: Simplify right side
    4,839x = 18,318,996.49
  5. Step 5: Solve for x
    x = 18,318,996.49/4,839
  6. Step 6: Final answer
    x = 3,785.70

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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.