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Finding the Fourth Proportional to 5,512.80, 8,270.40 and 2,589.50

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Solution

The fourth proportional to 5,512.80, 8,270.40 and 2,589.50 is: 3,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.80 : 8,270.40 = 2,589.50 : x
  2. Step 2: Convert to fraction form
    5,512.80/8,270.40 = 2,589.50/x
  3. Step 3: Cross multiply
    5,512.80x = 8,270.40 × 2,589.50
  4. Step 4: Simplify right side
    5,512.80x = 21,416,200.80
  5. Step 5: Solve for x
    x = 21,416,200.80/5,512.80
  6. Step 6: Final answer
    x = 3,884.81

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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.