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Finding the Fourth Proportional to 3,906.42, 5,856.99 and 2,055.57

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Solution

The fourth proportional to 3,906.42, 5,856.99 and 2,055.57 is: 3,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.42 : 5,856.99 = 2,055.57 : x
  2. Step 2: Convert to fraction form
    3,906.42/5,856.99 = 2,055.57/x
  3. Step 3: Cross multiply
    3,906.42x = 5,856.99 × 2,055.57
  4. Step 4: Simplify right side
    3,906.42x = 12,039,452.93
  5. Step 5: Solve for x
    x = 12,039,452.93/3,906.42
  6. Step 6: Final answer
    x = 3,081.97

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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.