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Finding the Fourth Proportional to 4,017.14, 6,012.21 and 3,863.78

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Solution

The fourth proportional to 4,017.14, 6,012.21 and 3,863.78 is: 5,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.14 : 6,012.21 = 3,863.78 : x
  2. Step 2: Convert to fraction form
    4,017.14/6,012.21 = 3,863.78/x
  3. Step 3: Cross multiply
    4,017.14x = 6,012.21 × 3,863.78
  4. Step 4: Simplify right side
    4,017.14x = 23,229,856.75
  5. Step 5: Solve for x
    x = 23,229,856.75/4,017.14
  6. Step 6: Final answer
    x = 5,782.69

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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.