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Finding the Fourth Proportional to 3,940.71, 5,911.91 and 1,967.40

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Solution

The fourth proportional to 3,940.71, 5,911.91 and 1,967.40 is: 2,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.71 : 5,911.91 = 1,967.40 : x
  2. Step 2: Convert to fraction form
    3,940.71/5,911.91 = 1,967.40/x
  3. Step 3: Cross multiply
    3,940.71x = 5,911.91 × 1,967.40
  4. Step 4: Simplify right side
    3,940.71x = 11,631,091.73
  5. Step 5: Solve for x
    x = 11,631,091.73/3,940.71
  6. Step 6: Final answer
    x = 2,951.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.