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Finding the Fourth Proportional to 5,517.50, 8,268.02 and 2,228.80

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Solution

The fourth proportional to 5,517.50, 8,268.02 and 2,228.80 is: 3,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.50 : 8,268.02 = 2,228.80 : x
  2. Step 2: Convert to fraction form
    5,517.50/8,268.02 = 2,228.80/x
  3. Step 3: Cross multiply
    5,517.50x = 8,268.02 × 2,228.80
  4. Step 4: Simplify right side
    5,517.50x = 18,427,762.98
  5. Step 5: Solve for x
    x = 18,427,762.98/5,517.50
  6. Step 6: Final answer
    x = 3,339.88

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Why These Related Problems?

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