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Finding the Fourth Proportional to 6,493.29, 8,961.29 and 3,661.21

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Solution

The fourth proportional to 6,493.29, 8,961.29 and 3,661.21 is: 5,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.29 : 8,961.29 = 3,661.21 : x
  2. Step 2: Convert to fraction form
    6,493.29/8,961.29 = 3,661.21/x
  3. Step 3: Cross multiply
    6,493.29x = 8,961.29 × 3,661.21
  4. Step 4: Simplify right side
    6,493.29x = 32,809,164.56
  5. Step 5: Solve for x
    x = 32,809,164.56/6,493.29
  6. Step 6: Final answer
    x = 5,052.78

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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.