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Finding the Fourth Proportional to 3,452.72, 5,173.32 and 1,806.96

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Solution

The fourth proportional to 3,452.72, 5,173.32 and 1,806.96 is: 2,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.72 : 5,173.32 = 1,806.96 : x
  2. Step 2: Convert to fraction form
    3,452.72/5,173.32 = 1,806.96/x
  3. Step 3: Cross multiply
    3,452.72x = 5,173.32 × 1,806.96
  4. Step 4: Simplify right side
    3,452.72x = 9,347,982.31
  5. Step 5: Solve for x
    x = 9,347,982.31/3,452.72
  6. Step 6: Final answer
    x = 2,707.43

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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.