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Finding the Fourth Proportional to 3,940.45, 5,911.82 and 1,599.24

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Solution

The fourth proportional to 3,940.45, 5,911.82 and 1,599.24 is: 2,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.45 : 5,911.82 = 1,599.24 : x
  2. Step 2: Convert to fraction form
    3,940.45/5,911.82 = 1,599.24/x
  3. Step 3: Cross multiply
    3,940.45x = 5,911.82 × 1,599.24
  4. Step 4: Simplify right side
    3,940.45x = 9,454,439.19
  5. Step 5: Solve for x
    x = 9,454,439.19/3,940.45
  6. Step 6: Final answer
    x = 2,399.33

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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.