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Finding the Fourth Proportional to 3,942.66, 5,438.12 and 3,196.64

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Solution

The fourth proportional to 3,942.66, 5,438.12 and 3,196.64 is: 4,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.66 : 5,438.12 = 3,196.64 : x
  2. Step 2: Convert to fraction form
    3,942.66/5,438.12 = 3,196.64/x
  3. Step 3: Cross multiply
    3,942.66x = 5,438.12 × 3,196.64
  4. Step 4: Simplify right side
    3,942.66x = 17,383,711.92
  5. Step 5: Solve for x
    x = 17,383,711.92/3,942.66
  6. Step 6: Final answer
    x = 4,409.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.