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Finding the Fourth Proportional to 3,676.83, 5,074.08 and 1,998.27

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Solution

The fourth proportional to 3,676.83, 5,074.08 and 1,998.27 is: 2,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.83 : 5,074.08 = 1,998.27 : x
  2. Step 2: Convert to fraction form
    3,676.83/5,074.08 = 1,998.27/x
  3. Step 3: Cross multiply
    3,676.83x = 5,074.08 × 1,998.27
  4. Step 4: Simplify right side
    3,676.83x = 10,139,381.84
  5. Step 5: Solve for x
    x = 10,139,381.84/3,676.83
  6. Step 6: Final answer
    x = 2,757.64

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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.