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Finding the Fourth Proportional to 5,449.68, 8,163.81 and 3,102.53

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Solution

The fourth proportional to 5,449.68, 8,163.81 and 3,102.53 is: 4,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.68 : 8,163.81 = 3,102.53 : x
  2. Step 2: Convert to fraction form
    5,449.68/8,163.81 = 3,102.53/x
  3. Step 3: Cross multiply
    5,449.68x = 8,163.81 × 3,102.53
  4. Step 4: Simplify right side
    5,449.68x = 25,328,456.31
  5. Step 5: Solve for x
    x = 25,328,456.31/5,449.68
  6. Step 6: Final answer
    x = 4,647.70

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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.