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Finding the Fourth Proportional to 3,908.71, 5,855.20 and 1,825.84

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Solution

The fourth proportional to 3,908.71, 5,855.20 and 1,825.84 is: 2,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.71 : 5,855.20 = 1,825.84 : x
  2. Step 2: Convert to fraction form
    3,908.71/5,855.20 = 1,825.84/x
  3. Step 3: Cross multiply
    3,908.71x = 5,855.20 × 1,825.84
  4. Step 4: Simplify right side
    3,908.71x = 10,690,658.37
  5. Step 5: Solve for x
    x = 10,690,658.37/3,908.71
  6. Step 6: Final answer
    x = 2,735.09

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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.