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Finding the Fourth Proportional to 5,197.97, 7,171.43 and 2,959.29

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Solution

The fourth proportional to 5,197.97, 7,171.43 and 2,959.29 is: 4,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.97 : 7,171.43 = 2,959.29 : x
  2. Step 2: Convert to fraction form
    5,197.97/7,171.43 = 2,959.29/x
  3. Step 3: Cross multiply
    5,197.97x = 7,171.43 × 2,959.29
  4. Step 4: Simplify right side
    5,197.97x = 21,222,326.29
  5. Step 5: Solve for x
    x = 21,222,326.29/5,197.97
  6. Step 6: Final answer
    x = 4,082.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.