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Finding the Fourth Proportional to 3,735.44, 5,608.12 and 3,191.12

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Solution

The fourth proportional to 3,735.44, 5,608.12 and 3,191.12 is: 4,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.44 : 5,608.12 = 3,191.12 : x
  2. Step 2: Convert to fraction form
    3,735.44/5,608.12 = 3,191.12/x
  3. Step 3: Cross multiply
    3,735.44x = 5,608.12 × 3,191.12
  4. Step 4: Simplify right side
    3,735.44x = 17,896,183.89
  5. Step 5: Solve for x
    x = 17,896,183.89/3,735.44
  6. Step 6: Final answer
    x = 4,790.92

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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.