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Finding the Fourth Proportional to 5,745.71, 7,928.52 and 3,227.25

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Solution

The fourth proportional to 5,745.71, 7,928.52 and 3,227.25 is: 4,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.71 : 7,928.52 = 3,227.25 : x
  2. Step 2: Convert to fraction form
    5,745.71/7,928.52 = 3,227.25/x
  3. Step 3: Cross multiply
    5,745.71x = 7,928.52 × 3,227.25
  4. Step 4: Simplify right side
    5,745.71x = 25,587,316.17
  5. Step 5: Solve for x
    x = 25,587,316.17/5,745.71
  6. Step 6: Final answer
    x = 4,453.29

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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.