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Finding the Fourth Proportional to 5,198.38, 7,173.80 and 2,840.47

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Solution

The fourth proportional to 5,198.38, 7,173.80 and 2,840.47 is: 3,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.38 : 7,173.80 = 2,840.47 : x
  2. Step 2: Convert to fraction form
    5,198.38/7,173.80 = 2,840.47/x
  3. Step 3: Cross multiply
    5,198.38x = 7,173.80 × 2,840.47
  4. Step 4: Simplify right side
    5,198.38x = 20,376,963.69
  5. Step 5: Solve for x
    x = 20,376,963.69/5,198.38
  6. Step 6: Final answer
    x = 3,919.87

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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.