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Finding the Fourth Proportional to 3,863.11, 5,794.20 and 1,013.41

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Solution

The fourth proportional to 3,863.11, 5,794.20 and 1,013.41 is: 1,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.11 : 5,794.20 = 1,013.41 : x
  2. Step 2: Convert to fraction form
    3,863.11/5,794.20 = 1,013.41/x
  3. Step 3: Cross multiply
    3,863.11x = 5,794.20 × 1,013.41
  4. Step 4: Simplify right side
    3,863.11x = 5,871,900.22
  5. Step 5: Solve for x
    x = 5,871,900.22/3,863.11
  6. Step 6: Final answer
    x = 1,519.99

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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.