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Finding the Fourth Proportional to 3,942.30, 5,915.05 and 3,880.11

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Solution

The fourth proportional to 3,942.30, 5,915.05 and 3,880.11 is: 5,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.30 : 5,915.05 = 3,880.11 : x
  2. Step 2: Convert to fraction form
    3,942.30/5,915.05 = 3,880.11/x
  3. Step 3: Cross multiply
    3,942.30x = 5,915.05 × 3,880.11
  4. Step 4: Simplify right side
    3,942.30x = 22,951,057.14
  5. Step 5: Solve for x
    x = 22,951,057.14/3,942.30
  6. Step 6: Final answer
    x = 5,821.74

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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.