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Finding the Fourth Proportional to 5,972.66, 8,241.10 and 4,082.12

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Solution

The fourth proportional to 5,972.66, 8,241.10 and 4,082.12 is: 5,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.66 : 8,241.10 = 4,082.12 : x
  2. Step 2: Convert to fraction form
    5,972.66/8,241.10 = 4,082.12/x
  3. Step 3: Cross multiply
    5,972.66x = 8,241.10 × 4,082.12
  4. Step 4: Simplify right side
    5,972.66x = 33,641,138.72
  5. Step 5: Solve for x
    x = 33,641,138.72/5,972.66
  6. Step 6: Final answer
    x = 5,632.52

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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.