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Finding the Fourth Proportional to 3,906.81, 5,860.41 and 1,442.37

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Solution

The fourth proportional to 3,906.81, 5,860.41 and 1,442.37 is: 2,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.81 : 5,860.41 = 1,442.37 : x
  2. Step 2: Convert to fraction form
    3,906.81/5,860.41 = 1,442.37/x
  3. Step 3: Cross multiply
    3,906.81x = 5,860.41 × 1,442.37
  4. Step 4: Simplify right side
    3,906.81x = 8,452,879.57
  5. Step 5: Solve for x
    x = 8,452,879.57/3,906.81
  6. Step 6: Final answer
    x = 2,163.63

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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.