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Finding the Fourth Proportional to 3,940.75, 5,911.14 and 1,204.75

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Solution

The fourth proportional to 3,940.75, 5,911.14 and 1,204.75 is: 1,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.75 : 5,911.14 = 1,204.75 : x
  2. Step 2: Convert to fraction form
    3,940.75/5,911.14 = 1,204.75/x
  3. Step 3: Cross multiply
    3,940.75x = 5,911.14 × 1,204.75
  4. Step 4: Simplify right side
    3,940.75x = 7,121,445.92
  5. Step 5: Solve for x
    x = 7,121,445.92/3,940.75
  6. Step 6: Final answer
    x = 1,807.13

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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.