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Finding the Fourth Proportional to 3,965.91, 5,932.42 and 3,021.71

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Solution

The fourth proportional to 3,965.91, 5,932.42 and 3,021.71 is: 4,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.91 : 5,932.42 = 3,021.71 : x
  2. Step 2: Convert to fraction form
    3,965.91/5,932.42 = 3,021.71/x
  3. Step 3: Cross multiply
    3,965.91x = 5,932.42 × 3,021.71
  4. Step 4: Simplify right side
    3,965.91x = 17,926,052.84
  5. Step 5: Solve for x
    x = 17,926,052.84/3,965.91
  6. Step 6: Final answer
    x = 4,520.04

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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.