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Finding the Fourth Proportional to 3,885.40, 5,814.42 and 3,183.64

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Solution

The fourth proportional to 3,885.40, 5,814.42 and 3,183.64 is: 4,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.40 : 5,814.42 = 3,183.64 : x
  2. Step 2: Convert to fraction form
    3,885.40/5,814.42 = 3,183.64/x
  3. Step 3: Cross multiply
    3,885.40x = 5,814.42 × 3,183.64
  4. Step 4: Simplify right side
    3,885.40x = 18,511,020.09
  5. Step 5: Solve for x
    x = 18,511,020.09/3,885.40
  6. Step 6: Final answer
    x = 4,764.25

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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.