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Finding the Fourth Proportional to 3,969.72, 5,466.96 and 3,438.36

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Solution

The fourth proportional to 3,969.72, 5,466.96 and 3,438.36 is: 4,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.72 : 5,466.96 = 3,438.36 : x
  2. Step 2: Convert to fraction form
    3,969.72/5,466.96 = 3,438.36/x
  3. Step 3: Cross multiply
    3,969.72x = 5,466.96 × 3,438.36
  4. Step 4: Simplify right side
    3,969.72x = 18,797,376.59
  5. Step 5: Solve for x
    x = 18,797,376.59/3,969.72
  6. Step 6: Final answer
    x = 4,735.19

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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.