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Finding the Fourth Proportional to 4,082.56, 6,123 and 2,001.68

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Solution

The fourth proportional to 4,082.56, 6,123 and 2,001.68 is: 3,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.56 : 6,123 = 2,001.68 : x
  2. Step 2: Convert to fraction form
    4,082.56/6,123 = 2,001.68/x
  3. Step 3: Cross multiply
    4,082.56x = 6,123 × 2,001.68
  4. Step 4: Simplify right side
    4,082.56x = 12,256,286.64
  5. Step 5: Solve for x
    x = 12,256,286.64/4,082.56
  6. Step 6: Final answer
    x = 3,002.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.