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Finding the Fourth Proportional to 5,049.38, 6,967.08 and 2,924.78

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Solution

The fourth proportional to 5,049.38, 6,967.08 and 2,924.78 is: 4,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.38 : 6,967.08 = 2,924.78 : x
  2. Step 2: Convert to fraction form
    5,049.38/6,967.08 = 2,924.78/x
  3. Step 3: Cross multiply
    5,049.38x = 6,967.08 × 2,924.78
  4. Step 4: Simplify right side
    5,049.38x = 20,377,204.63
  5. Step 5: Solve for x
    x = 20,377,204.63/5,049.38
  6. Step 6: Final answer
    x = 4,035.59

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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.