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Finding the Fourth Proportional to 5,197.38, 7,172.42 and 2,839.47

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Solution

The fourth proportional to 5,197.38, 7,172.42 and 2,839.47 is: 3,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.38 : 7,172.42 = 2,839.47 : x
  2. Step 2: Convert to fraction form
    5,197.38/7,172.42 = 2,839.47/x
  3. Step 3: Cross multiply
    5,197.38x = 7,172.42 × 2,839.47
  4. Step 4: Simplify right side
    5,197.38x = 20,365,857.22
  5. Step 5: Solve for x
    x = 20,365,857.22/5,197.38
  6. Step 6: Final answer
    x = 3,918.49

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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.