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Finding the Fourth Proportional to 3,942.96, 5,916.74 and 2,189.44

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Solution

The fourth proportional to 3,942.96, 5,916.74 and 2,189.44 is: 3,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.96 : 5,916.74 = 2,189.44 : x
  2. Step 2: Convert to fraction form
    3,942.96/5,916.74 = 2,189.44/x
  3. Step 3: Cross multiply
    3,942.96x = 5,916.74 × 2,189.44
  4. Step 4: Simplify right side
    3,942.96x = 12,954,347.23
  5. Step 5: Solve for x
    x = 12,954,347.23/3,942.96
  6. Step 6: Final answer
    x = 3,285.44

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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.