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Finding the Fourth Proportional to 4,512.80, 6,769.20 and 4,167.20

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Solution

The fourth proportional to 4,512.80, 6,769.20 and 4,167.20 is: 6,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.80 : 6,769.20 = 4,167.20 : x
  2. Step 2: Convert to fraction form
    4,512.80/6,769.20 = 4,167.20/x
  3. Step 3: Cross multiply
    4,512.80x = 6,769.20 × 4,167.20
  4. Step 4: Simplify right side
    4,512.80x = 28,208,610.24
  5. Step 5: Solve for x
    x = 28,208,610.24/4,512.80
  6. Step 6: Final answer
    x = 6,250.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.