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Finding the Fourth Proportional to 6,383.07, 8,805.76 and 3,729.29

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Solution

The fourth proportional to 6,383.07, 8,805.76 and 3,729.29 is: 5,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.07 : 8,805.76 = 3,729.29 : x
  2. Step 2: Convert to fraction form
    6,383.07/8,805.76 = 3,729.29/x
  3. Step 3: Cross multiply
    6,383.07x = 8,805.76 × 3,729.29
  4. Step 4: Simplify right side
    6,383.07x = 32,839,179.36
  5. Step 5: Solve for x
    x = 32,839,179.36/6,383.07
  6. Step 6: Final answer
    x = 5,144.73

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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.