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Finding the Fourth Proportional to 6,082.82, 8,400.28 and 4,199.24

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Solution

The fourth proportional to 6,082.82, 8,400.28 and 4,199.24 is: 5,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.82 : 8,400.28 = 4,199.24 : x
  2. Step 2: Convert to fraction form
    6,082.82/8,400.28 = 4,199.24/x
  3. Step 3: Cross multiply
    6,082.82x = 8,400.28 × 4,199.24
  4. Step 4: Simplify right side
    6,082.82x = 35,274,791.79
  5. Step 5: Solve for x
    x = 35,274,791.79/6,082.82
  6. Step 6: Final answer
    x = 5,799.09

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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.