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Finding the Fourth Proportional to 6,410.97, 8,844.78 and 3,757.41

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Solution

The fourth proportional to 6,410.97, 8,844.78 and 3,757.41 is: 5,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.97 : 8,844.78 = 3,757.41 : x
  2. Step 2: Convert to fraction form
    6,410.97/8,844.78 = 3,757.41/x
  3. Step 3: Cross multiply
    6,410.97x = 8,844.78 × 3,757.41
  4. Step 4: Simplify right side
    6,410.97x = 33,233,464.82
  5. Step 5: Solve for x
    x = 33,233,464.82/6,410.97
  6. Step 6: Final answer
    x = 5,183.84

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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.