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Finding the Fourth Proportional to 4,122.60, 6,183.90 and 3,863.40

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Solution

The fourth proportional to 4,122.60, 6,183.90 and 3,863.40 is: 5,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.60 : 6,183.90 = 3,863.40 : x
  2. Step 2: Convert to fraction form
    4,122.60/6,183.90 = 3,863.40/x
  3. Step 3: Cross multiply
    4,122.60x = 6,183.90 × 3,863.40
  4. Step 4: Simplify right side
    4,122.60x = 23,890,879.26
  5. Step 5: Solve for x
    x = 23,890,879.26/4,122.60
  6. Step 6: Final answer
    x = 5,795.10

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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.