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Finding the Fourth Proportional to 3,082.69, 4,241.79 and 2,996.56

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Solution

The fourth proportional to 3,082.69, 4,241.79 and 2,996.56 is: 4,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.69 : 4,241.79 = 2,996.56 : x
  2. Step 2: Convert to fraction form
    3,082.69/4,241.79 = 2,996.56/x
  3. Step 3: Cross multiply
    3,082.69x = 4,241.79 × 2,996.56
  4. Step 4: Simplify right side
    3,082.69x = 12,710,778.24
  5. Step 5: Solve for x
    x = 12,710,778.24/3,082.69
  6. Step 6: Final answer
    x = 4,123.27

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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.