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Finding the Fourth Proportional to 3,863.23, 5,794.85 and 941.53

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Solution

The fourth proportional to 3,863.23, 5,794.85 and 941.53 is: 1,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.23 : 5,794.85 = 941.53 : x
  2. Step 2: Convert to fraction form
    3,863.23/5,794.85 = 941.53/x
  3. Step 3: Cross multiply
    3,863.23x = 5,794.85 × 941.53
  4. Step 4: Simplify right side
    3,863.23x = 5,456,020.41
  5. Step 5: Solve for x
    x = 5,456,020.41/3,863.23
  6. Step 6: Final answer
    x = 1,412.30

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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.