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Finding the Fourth Proportional to 3,998.78, 5,987.67 and 2,822.43

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Solution

The fourth proportional to 3,998.78, 5,987.67 and 2,822.43 is: 4,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.78 : 5,987.67 = 2,822.43 : x
  2. Step 2: Convert to fraction form
    3,998.78/5,987.67 = 2,822.43/x
  3. Step 3: Cross multiply
    3,998.78x = 5,987.67 × 2,822.43
  4. Step 4: Simplify right side
    3,998.78x = 16,899,779.44
  5. Step 5: Solve for x
    x = 16,899,779.44/3,998.78
  6. Step 6: Final answer
    x = 4,226.23

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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.