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Finding the Fourth Proportional to 3,896.56, 5,377.62 and 3,224.26

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Solution

The fourth proportional to 3,896.56, 5,377.62 and 3,224.26 is: 4,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.56 : 5,377.62 = 3,224.26 : x
  2. Step 2: Convert to fraction form
    3,896.56/5,377.62 = 3,224.26/x
  3. Step 3: Cross multiply
    3,896.56x = 5,377.62 × 3,224.26
  4. Step 4: Simplify right side
    3,896.56x = 17,338,845.06
  5. Step 5: Solve for x
    x = 17,338,845.06/3,896.56
  6. Step 6: Final answer
    x = 4,449.78

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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.