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Finding the Fourth Proportional to 3,675.46, 5,072.39 and 2,082.09

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Solution

The fourth proportional to 3,675.46, 5,072.39 and 2,082.09 is: 2,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.46 : 5,072.39 = 2,082.09 : x
  2. Step 2: Convert to fraction form
    3,675.46/5,072.39 = 2,082.09/x
  3. Step 3: Cross multiply
    3,675.46x = 5,072.39 × 2,082.09
  4. Step 4: Simplify right side
    3,675.46x = 10,561,162.08
  5. Step 5: Solve for x
    x = 10,561,162.08/3,675.46
  6. Step 6: Final answer
    x = 2,873.43

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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.