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Finding the Fourth Proportional to 5,451.65, 8,181.62 and 3,994.61

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Solution

The fourth proportional to 5,451.65, 8,181.62 and 3,994.61 is: 5,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.65 : 8,181.62 = 3,994.61 : x
  2. Step 2: Convert to fraction form
    5,451.65/8,181.62 = 3,994.61/x
  3. Step 3: Cross multiply
    5,451.65x = 8,181.62 × 3,994.61
  4. Step 4: Simplify right side
    5,451.65x = 32,682,361.10
  5. Step 5: Solve for x
    x = 32,682,361.10/5,451.65
  6. Step 6: Final answer
    x = 5,994.95

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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.