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Finding the Fourth Proportional to 3,512.82, 4,847.15 and 2,020.80

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Solution

The fourth proportional to 3,512.82, 4,847.15 and 2,020.80 is: 2,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.82 : 4,847.15 = 2,020.80 : x
  2. Step 2: Convert to fraction form
    3,512.82/4,847.15 = 2,020.80/x
  3. Step 3: Cross multiply
    3,512.82x = 4,847.15 × 2,020.80
  4. Step 4: Simplify right side
    3,512.82x = 9,795,110.62
  5. Step 5: Solve for x
    x = 9,795,110.62/3,512.82
  6. Step 6: Final answer
    x = 2,788.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.