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Finding the Fourth Proportional to 3,940.13, 5,911.16 and 1,204.13

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Solution

The fourth proportional to 3,940.13, 5,911.16 and 1,204.13 is: 1,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.13 : 5,911.16 = 1,204.13 : x
  2. Step 2: Convert to fraction form
    3,940.13/5,911.16 = 1,204.13/x
  3. Step 3: Cross multiply
    3,940.13x = 5,911.16 × 1,204.13
  4. Step 4: Simplify right side
    3,940.13x = 7,117,805.09
  5. Step 5: Solve for x
    x = 7,117,805.09/3,940.13
  6. Step 6: Final answer
    x = 1,806.49

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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.