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Finding the Fourth Proportional to 3,906.37, 5,859.89 and 1,797.96

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Solution

The fourth proportional to 3,906.37, 5,859.89 and 1,797.96 is: 2,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.37 : 5,859.89 = 1,797.96 : x
  2. Step 2: Convert to fraction form
    3,906.37/5,859.89 = 1,797.96/x
  3. Step 3: Cross multiply
    3,906.37x = 5,859.89 × 1,797.96
  4. Step 4: Simplify right side
    3,906.37x = 10,535,847.82
  5. Step 5: Solve for x
    x = 10,535,847.82/3,906.37
  6. Step 6: Final answer
    x = 2,697.09

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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.