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Finding the Fourth Proportional to 4,082.92, 6,123.48 and 2,000.86

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Solution

The fourth proportional to 4,082.92, 6,123.48 and 2,000.86 is: 3,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.92 : 6,123.48 = 2,000.86 : x
  2. Step 2: Convert to fraction form
    4,082.92/6,123.48 = 2,000.86/x
  3. Step 3: Cross multiply
    4,082.92x = 6,123.48 × 2,000.86
  4. Step 4: Simplify right side
    4,082.92x = 12,252,226.19
  5. Step 5: Solve for x
    x = 12,252,226.19/4,082.92
  6. Step 6: Final answer
    x = 3,000.85

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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.