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Finding the Fourth Proportional to 5,197.38, 7,172.01 and 2,839.02

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Solution

The fourth proportional to 5,197.38, 7,172.01 and 2,839.02 is: 3,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.38 : 7,172.01 = 2,839.02 : x
  2. Step 2: Convert to fraction form
    5,197.38/7,172.01 = 2,839.02/x
  3. Step 3: Cross multiply
    5,197.38x = 7,172.01 × 2,839.02
  4. Step 4: Simplify right side
    5,197.38x = 20,361,479.83
  5. Step 5: Solve for x
    x = 20,361,479.83/5,197.38
  6. Step 6: Final answer
    x = 3,917.64

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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.