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Finding the Fourth Proportional to 3,836.97, 5,760.72 and 3,771.36

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Solution

The fourth proportional to 3,836.97, 5,760.72 and 3,771.36 is: 5,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.97 : 5,760.72 = 3,771.36 : x
  2. Step 2: Convert to fraction form
    3,836.97/5,760.72 = 3,771.36/x
  3. Step 3: Cross multiply
    3,836.97x = 5,760.72 × 3,771.36
  4. Step 4: Simplify right side
    3,836.97x = 21,725,748.98
  5. Step 5: Solve for x
    x = 21,725,748.98/3,836.97
  6. Step 6: Final answer
    x = 5,662.21

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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.