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Finding the Fourth Proportional to 3,183.53, 4,775.29 and 2,181.89

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Solution

The fourth proportional to 3,183.53, 4,775.29 and 2,181.89 is: 3,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.53 : 4,775.29 = 2,181.89 : x
  2. Step 2: Convert to fraction form
    3,183.53/4,775.29 = 2,181.89/x
  3. Step 3: Cross multiply
    3,183.53x = 4,775.29 × 2,181.89
  4. Step 4: Simplify right side
    3,183.53x = 10,419,137.12
  5. Step 5: Solve for x
    x = 10,419,137.12/3,183.53
  6. Step 6: Final answer
    x = 3,272.83

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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.