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Finding the Fourth Proportional to 5,147.56, 7,722.78 and 1,687.24

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Solution

The fourth proportional to 5,147.56, 7,722.78 and 1,687.24 is: 2,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.56 : 7,722.78 = 1,687.24 : x
  2. Step 2: Convert to fraction form
    5,147.56/7,722.78 = 1,687.24/x
  3. Step 3: Cross multiply
    5,147.56x = 7,722.78 × 1,687.24
  4. Step 4: Simplify right side
    5,147.56x = 13,030,183.33
  5. Step 5: Solve for x
    x = 13,030,183.33/5,147.56
  6. Step 6: Final answer
    x = 2,531.33

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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.