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Finding the Fourth Proportional to 3,682.69, 5,082.29 and 2,171.10

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Solution

The fourth proportional to 3,682.69, 5,082.29 and 2,171.10 is: 2,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.69 : 5,082.29 = 2,171.10 : x
  2. Step 2: Convert to fraction form
    3,682.69/5,082.29 = 2,171.10/x
  3. Step 3: Cross multiply
    3,682.69x = 5,082.29 × 2,171.10
  4. Step 4: Simplify right side
    3,682.69x = 11,034,159.82
  5. Step 5: Solve for x
    x = 11,034,159.82/3,682.69
  6. Step 6: Final answer
    x = 2,996.22

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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.