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Finding the Fourth Proportional to 3,982.73, 5,969.82 and 2,522.30

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Solution

The fourth proportional to 3,982.73, 5,969.82 and 2,522.30 is: 3,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.73 : 5,969.82 = 2,522.30 : x
  2. Step 2: Convert to fraction form
    3,982.73/5,969.82 = 2,522.30/x
  3. Step 3: Cross multiply
    3,982.73x = 5,969.82 × 2,522.30
  4. Step 4: Simplify right side
    3,982.73x = 15,057,676.99
  5. Step 5: Solve for x
    x = 15,057,676.99/3,982.73
  6. Step 6: Final answer
    x = 3,780.74

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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.