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Finding the Fourth Proportional to 3,940.99, 5,438.13 and 2,262.36

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Solution

The fourth proportional to 3,940.99, 5,438.13 and 2,262.36 is: 3,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.99 : 5,438.13 = 2,262.36 : x
  2. Step 2: Convert to fraction form
    3,940.99/5,438.13 = 2,262.36/x
  3. Step 3: Cross multiply
    3,940.99x = 5,438.13 × 2,262.36
  4. Step 4: Simplify right side
    3,940.99x = 12,303,007.79
  5. Step 5: Solve for x
    x = 12,303,007.79/3,940.99
  6. Step 6: Final answer
    x = 3,121.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.