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Finding the Fourth Proportional to 5,961.68, 8,942.49 and 2,451.09

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Solution

The fourth proportional to 5,961.68, 8,942.49 and 2,451.09 is: 3,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.68 : 8,942.49 = 2,451.09 : x
  2. Step 2: Convert to fraction form
    5,961.68/8,942.49 = 2,451.09/x
  3. Step 3: Cross multiply
    5,961.68x = 8,942.49 × 2,451.09
  4. Step 4: Simplify right side
    5,961.68x = 21,918,847.81
  5. Step 5: Solve for x
    x = 21,918,847.81/5,961.68
  6. Step 6: Final answer
    x = 3,676.62

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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.