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Finding the Fourth Proportional to 3,863.38, 5,794.84 and 1,888.24

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Solution

The fourth proportional to 3,863.38, 5,794.84 and 1,888.24 is: 2,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.38 : 5,794.84 = 1,888.24 : x
  2. Step 2: Convert to fraction form
    3,863.38/5,794.84 = 1,888.24/x
  3. Step 3: Cross multiply
    3,863.38x = 5,794.84 × 1,888.24
  4. Step 4: Simplify right side
    3,863.38x = 10,942,048.68
  5. Step 5: Solve for x
    x = 10,942,048.68/3,863.38
  6. Step 6: Final answer
    x = 2,832.25

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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.