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Finding the Fourth Proportional to 4,967.38, 6,855.17 and 2,729.51

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Solution

The fourth proportional to 4,967.38, 6,855.17 and 2,729.51 is: 3,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.38 : 6,855.17 = 2,729.51 : x
  2. Step 2: Convert to fraction form
    4,967.38/6,855.17 = 2,729.51/x
  3. Step 3: Cross multiply
    4,967.38x = 6,855.17 × 2,729.51
  4. Step 4: Simplify right side
    4,967.38x = 18,711,255.07
  5. Step 5: Solve for x
    x = 18,711,255.07/4,967.38
  6. Step 6: Final answer
    x = 3,766.83

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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.