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Finding the Fourth Proportional to 3,517.28, 5,274.17 and 1,296.01

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Solution

The fourth proportional to 3,517.28, 5,274.17 and 1,296.01 is: 1,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.28 : 5,274.17 = 1,296.01 : x
  2. Step 2: Convert to fraction form
    3,517.28/5,274.17 = 1,296.01/x
  3. Step 3: Cross multiply
    3,517.28x = 5,274.17 × 1,296.01
  4. Step 4: Simplify right side
    3,517.28x = 6,835,377.06
  5. Step 5: Solve for x
    x = 6,835,377.06/3,517.28
  6. Step 6: Final answer
    x = 1,943.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.