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Finding the Fourth Proportional to 8,671.20, 13,006.80 and 3,480.80

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Solution

The fourth proportional to 8,671.20, 13,006.80 and 3,480.80 is: 5,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.20 : 13,006.80 = 3,480.80 : x
  2. Step 2: Convert to fraction form
    8,671.20/13,006.80 = 3,480.80/x
  3. Step 3: Cross multiply
    8,671.20x = 13,006.80 × 3,480.80
  4. Step 4: Simplify right side
    8,671.20x = 45,274,069.44
  5. Step 5: Solve for x
    x = 45,274,069.44/8,671.20
  6. Step 6: Final answer
    x = 5,221.20

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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.