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Finding the Fourth Proportional to 3,647.28, 5,033.26 and 1,991.28

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Solution

The fourth proportional to 3,647.28, 5,033.26 and 1,991.28 is: 2,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.28 : 5,033.26 = 1,991.28 : x
  2. Step 2: Convert to fraction form
    3,647.28/5,033.26 = 1,991.28/x
  3. Step 3: Cross multiply
    3,647.28x = 5,033.26 × 1,991.28
  4. Step 4: Simplify right side
    3,647.28x = 10,022,629.97
  5. Step 5: Solve for x
    x = 10,022,629.97/3,647.28
  6. Step 6: Final answer
    x = 2,747.97

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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.