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Finding the Fourth Proportional to 3,961.79, 5,940.26 and 1,767.50

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Solution

The fourth proportional to 3,961.79, 5,940.26 and 1,767.50 is: 2,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.79 : 5,940.26 = 1,767.50 : x
  2. Step 2: Convert to fraction form
    3,961.79/5,940.26 = 1,767.50/x
  3. Step 3: Cross multiply
    3,961.79x = 5,940.26 × 1,767.50
  4. Step 4: Simplify right side
    3,961.79x = 10,499,400.71
  5. Step 5: Solve for x
    x = 10,499,400.71/3,961.79
  6. Step 6: Final answer
    x = 2,650.17

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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.