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Finding the Fourth Proportional to 3,995.48, 5,513.78 and 2,227.08

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Solution

The fourth proportional to 3,995.48, 5,513.78 and 2,227.08 is: 3,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.48 : 5,513.78 = 2,227.08 : x
  2. Step 2: Convert to fraction form
    3,995.48/5,513.78 = 2,227.08/x
  3. Step 3: Cross multiply
    3,995.48x = 5,513.78 × 2,227.08
  4. Step 4: Simplify right side
    3,995.48x = 12,279,629.16
  5. Step 5: Solve for x
    x = 12,279,629.16/3,995.48
  6. Step 6: Final answer
    x = 3,073.38

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Why These Related Problems?

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