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Finding the Fourth Proportional to 3,942.52, 5,916.08 and 2,189

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Solution

The fourth proportional to 3,942.52, 5,916.08 and 2,189 is: 3,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.52 : 5,916.08 = 2,189 : x
  2. Step 2: Convert to fraction form
    3,942.52/5,916.08 = 2,189/x
  3. Step 3: Cross multiply
    3,942.52x = 5,916.08 × 2,189
  4. Step 4: Simplify right side
    3,942.52x = 12,950,299.12
  5. Step 5: Solve for x
    x = 12,950,299.12/3,942.52
  6. Step 6: Final answer
    x = 3,284.78

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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.