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Finding the Fourth Proportional to 3,969.72, 5,954.52 and 1,196.36

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Solution

The fourth proportional to 3,969.72, 5,954.52 and 1,196.36 is: 1,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.72 : 5,954.52 = 1,196.36 : x
  2. Step 2: Convert to fraction form
    3,969.72/5,954.52 = 1,196.36/x
  3. Step 3: Cross multiply
    3,969.72x = 5,954.52 × 1,196.36
  4. Step 4: Simplify right side
    3,969.72x = 7,123,749.55
  5. Step 5: Solve for x
    x = 7,123,749.55/3,969.72
  6. Step 6: Final answer
    x = 1,794.52

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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.