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Finding the Fourth Proportional to 4,857.28, 7,280.80 and 2,772.80

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Solution

The fourth proportional to 4,857.28, 7,280.80 and 2,772.80 is: 4,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.28 : 7,280.80 = 2,772.80 : x
  2. Step 2: Convert to fraction form
    4,857.28/7,280.80 = 2,772.80/x
  3. Step 3: Cross multiply
    4,857.28x = 7,280.80 × 2,772.80
  4. Step 4: Simplify right side
    4,857.28x = 20,188,202.24
  5. Step 5: Solve for x
    x = 20,188,202.24/4,857.28
  6. Step 6: Final answer
    x = 4,156.28

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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.