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Finding the Fourth Proportional to 3,676.68, 5,073.84 and 1,998.09

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Solution

The fourth proportional to 3,676.68, 5,073.84 and 1,998.09 is: 2,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.68 : 5,073.84 = 1,998.09 : x
  2. Step 2: Convert to fraction form
    3,676.68/5,073.84 = 1,998.09/x
  3. Step 3: Cross multiply
    3,676.68x = 5,073.84 × 1,998.09
  4. Step 4: Simplify right side
    3,676.68x = 10,137,988.97
  5. Step 5: Solve for x
    x = 10,137,988.97/3,676.68
  6. Step 6: Final answer
    x = 2,757.38

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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.