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Finding the Fourth Proportional to 3,972.26, 5,928.96 and 3,505.25

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Solution

The fourth proportional to 3,972.26, 5,928.96 and 3,505.25 is: 5,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.26 : 5,928.96 = 3,505.25 : x
  2. Step 2: Convert to fraction form
    3,972.26/5,928.96 = 3,505.25/x
  3. Step 3: Cross multiply
    3,972.26x = 5,928.96 × 3,505.25
  4. Step 4: Simplify right side
    3,972.26x = 20,782,487.04
  5. Step 5: Solve for x
    x = 20,782,487.04/3,972.26
  6. Step 6: Final answer
    x = 5,231.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.