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Finding the Fourth Proportional to 5,745.06, 7,928.01 and 3,227.31

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Solution

The fourth proportional to 5,745.06, 7,928.01 and 3,227.31 is: 4,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.06 : 7,928.01 = 3,227.31 : x
  2. Step 2: Convert to fraction form
    5,745.06/7,928.01 = 3,227.31/x
  3. Step 3: Cross multiply
    5,745.06x = 7,928.01 × 3,227.31
  4. Step 4: Simplify right side
    5,745.06x = 25,586,145.95
  5. Step 5: Solve for x
    x = 25,586,145.95/5,745.06
  6. Step 6: Final answer
    x = 4,453.59

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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.