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Finding the Fourth Proportional to 3,676.29, 5,072.47 and 2,682.11

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Solution

The fourth proportional to 3,676.29, 5,072.47 and 2,682.11 is: 3,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.29 : 5,072.47 = 2,682.11 : x
  2. Step 2: Convert to fraction form
    3,676.29/5,072.47 = 2,682.11/x
  3. Step 3: Cross multiply
    3,676.29x = 5,072.47 × 2,682.11
  4. Step 4: Simplify right side
    3,676.29x = 13,604,943.57
  5. Step 5: Solve for x
    x = 13,604,943.57/3,676.29
  6. Step 6: Final answer
    x = 3,700.73

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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.