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Finding the Fourth Proportional to 3,865, 5,789.82 and 1,911.24

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Solution

The fourth proportional to 3,865, 5,789.82 and 1,911.24 is: 2,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865 : 5,789.82 = 1,911.24 : x
  2. Step 2: Convert to fraction form
    3,865/5,789.82 = 1,911.24/x
  3. Step 3: Cross multiply
    3,865x = 5,789.82 × 1,911.24
  4. Step 4: Simplify right side
    3,865x = 11,065,735.58
  5. Step 5: Solve for x
    x = 11,065,735.58/3,865
  6. Step 6: Final answer
    x = 2,863.06

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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.