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Finding the Fourth Proportional to 4,138.66, 6,201.50 and 3,519.82

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Solution

The fourth proportional to 4,138.66, 6,201.50 and 3,519.82 is: 5,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.66 : 6,201.50 = 3,519.82 : x
  2. Step 2: Convert to fraction form
    4,138.66/6,201.50 = 3,519.82/x
  3. Step 3: Cross multiply
    4,138.66x = 6,201.50 × 3,519.82
  4. Step 4: Simplify right side
    4,138.66x = 21,828,163.73
  5. Step 5: Solve for x
    x = 21,828,163.73/4,138.66
  6. Step 6: Final answer
    x = 5,274.21

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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.