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Finding the Fourth Proportional to 5,197.64, 7,172.38 and 2,839.74

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Solution

The fourth proportional to 5,197.64, 7,172.38 and 2,839.74 is: 3,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.64 : 7,172.38 = 2,839.74 : x
  2. Step 2: Convert to fraction form
    5,197.64/7,172.38 = 2,839.74/x
  3. Step 3: Cross multiply
    5,197.64x = 7,172.38 × 2,839.74
  4. Step 4: Simplify right side
    5,197.64x = 20,367,694.38
  5. Step 5: Solve for x
    x = 20,367,694.38/5,197.64
  6. Step 6: Final answer
    x = 3,918.64

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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.