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Finding the Fourth Proportional to 5,745.28, 7,928.54 and 3,227.92

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Solution

The fourth proportional to 5,745.28, 7,928.54 and 3,227.92 is: 4,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.28 : 7,928.54 = 3,227.92 : x
  2. Step 2: Convert to fraction form
    5,745.28/7,928.54 = 3,227.92/x
  3. Step 3: Cross multiply
    5,745.28x = 7,928.54 × 3,227.92
  4. Step 4: Simplify right side
    5,745.28x = 25,592,692.84
  5. Step 5: Solve for x
    x = 25,592,692.84/5,745.28
  6. Step 6: Final answer
    x = 4,454.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.