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Finding the Fourth Proportional to 3,906.60, 5,860.68 and 1,441.43

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Solution

The fourth proportional to 3,906.60, 5,860.68 and 1,441.43 is: 2,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.60 : 5,860.68 = 1,441.43 : x
  2. Step 2: Convert to fraction form
    3,906.60/5,860.68 = 1,441.43/x
  3. Step 3: Cross multiply
    3,906.60x = 5,860.68 × 1,441.43
  4. Step 4: Simplify right side
    3,906.60x = 8,447,723.46
  5. Step 5: Solve for x
    x = 8,447,723.46/3,906.60
  6. Step 6: Final answer
    x = 2,162.43

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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.