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Finding the Fourth Proportional to 3,930.26, 5,898.76 and 2,082.67

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Solution

The fourth proportional to 3,930.26, 5,898.76 and 2,082.67 is: 3,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.26 : 5,898.76 = 2,082.67 : x
  2. Step 2: Convert to fraction form
    3,930.26/5,898.76 = 2,082.67/x
  3. Step 3: Cross multiply
    3,930.26x = 5,898.76 × 2,082.67
  4. Step 4: Simplify right side
    3,930.26x = 12,285,150.54
  5. Step 5: Solve for x
    x = 12,285,150.54/3,930.26
  6. Step 6: Final answer
    x = 3,125.79

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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.