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Finding the Fourth Proportional to 5,649.92, 8,462.60 and 3,183.44

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Solution

The fourth proportional to 5,649.92, 8,462.60 and 3,183.44 is: 4,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.92 : 8,462.60 = 3,183.44 : x
  2. Step 2: Convert to fraction form
    5,649.92/8,462.60 = 3,183.44/x
  3. Step 3: Cross multiply
    5,649.92x = 8,462.60 × 3,183.44
  4. Step 4: Simplify right side
    5,649.92x = 26,940,179.34
  5. Step 5: Solve for x
    x = 26,940,179.34/5,649.92
  6. Step 6: Final answer
    x = 4,768.24

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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.