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Finding the Fourth Proportional to 3,285.92, 4,920.24 and 2,516.96

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Solution

The fourth proportional to 3,285.92, 4,920.24 and 2,516.96 is: 3,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.92 : 4,920.24 = 2,516.96 : x
  2. Step 2: Convert to fraction form
    3,285.92/4,920.24 = 2,516.96/x
  3. Step 3: Cross multiply
    3,285.92x = 4,920.24 × 2,516.96
  4. Step 4: Simplify right side
    3,285.92x = 12,384,069.01
  5. Step 5: Solve for x
    x = 12,384,069.01/3,285.92
  6. Step 6: Final answer
    x = 3,768.83

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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.