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Finding the Fourth Proportional to 5,745.42, 7,928.16 and 3,227.52

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Solution

The fourth proportional to 5,745.42, 7,928.16 and 3,227.52 is: 4,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.42 : 7,928.16 = 3,227.52 : x
  2. Step 2: Convert to fraction form
    5,745.42/7,928.16 = 3,227.52/x
  3. Step 3: Cross multiply
    5,745.42x = 7,928.16 × 3,227.52
  4. Step 4: Simplify right side
    5,745.42x = 25,588,294.96
  5. Step 5: Solve for x
    x = 25,588,294.96/5,745.42
  6. Step 6: Final answer
    x = 4,453.69

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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.