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Finding the Fourth Proportional to 3,676.33, 5,073.27 and 2,082.86

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Solution

The fourth proportional to 3,676.33, 5,073.27 and 2,082.86 is: 2,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.33 : 5,073.27 = 2,082.86 : x
  2. Step 2: Convert to fraction form
    3,676.33/5,073.27 = 2,082.86/x
  3. Step 3: Cross multiply
    3,676.33x = 5,073.27 × 2,082.86
  4. Step 4: Simplify right side
    3,676.33x = 10,566,897.00
  5. Step 5: Solve for x
    x = 10,566,897.00/3,676.33
  6. Step 6: Final answer
    x = 2,874.30

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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.