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Finding the Fourth Proportional to 4,016.87, 5,997.97 and 3,544.41

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Solution

The fourth proportional to 4,016.87, 5,997.97 and 3,544.41 is: 5,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.87 : 5,997.97 = 3,544.41 : x
  2. Step 2: Convert to fraction form
    4,016.87/5,997.97 = 3,544.41/x
  3. Step 3: Cross multiply
    4,016.87x = 5,997.97 × 3,544.41
  4. Step 4: Simplify right side
    4,016.87x = 21,259,232.13
  5. Step 5: Solve for x
    x = 21,259,232.13/4,016.87
  6. Step 6: Final answer
    x = 5,292.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.