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Finding the Fourth Proportional to 3,676.93, 5,074.16 and 1,998.33

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Solution

The fourth proportional to 3,676.93, 5,074.16 and 1,998.33 is: 2,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.93 : 5,074.16 = 1,998.33 : x
  2. Step 2: Convert to fraction form
    3,676.93/5,074.16 = 1,998.33/x
  3. Step 3: Cross multiply
    3,676.93x = 5,074.16 × 1,998.33
  4. Step 4: Simplify right side
    3,676.93x = 10,139,836.16
  5. Step 5: Solve for x
    x = 10,139,836.16/3,676.93
  6. Step 6: Final answer
    x = 2,757.69

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