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Finding the Fourth Proportional to 4,082.43, 6,122.72 and 2,000.35

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Solution

The fourth proportional to 4,082.43, 6,122.72 and 2,000.35 is: 3,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.43 : 6,122.72 = 2,000.35 : x
  2. Step 2: Convert to fraction form
    4,082.43/6,122.72 = 2,000.35/x
  3. Step 3: Cross multiply
    4,082.43x = 6,122.72 × 2,000.35
  4. Step 4: Simplify right side
    4,082.43x = 12,247,582.95
  5. Step 5: Solve for x
    x = 12,247,582.95/4,082.43
  6. Step 6: Final answer
    x = 3,000.07

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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.