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Finding the Fourth Proportional to 5,450.90, 8,180.49 and 3,993.86

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Solution

The fourth proportional to 5,450.90, 8,180.49 and 3,993.86 is: 5,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.90 : 8,180.49 = 3,993.86 : x
  2. Step 2: Convert to fraction form
    5,450.90/8,180.49 = 3,993.86/x
  3. Step 3: Cross multiply
    5,450.90x = 8,180.49 × 3,993.86
  4. Step 4: Simplify right side
    5,450.90x = 32,671,731.79
  5. Step 5: Solve for x
    x = 32,671,731.79/5,450.90
  6. Step 6: Final answer
    x = 5,993.82

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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.