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Finding the Fourth Proportional to 3,924.50, 5,871.63 and 3,896.42

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Solution

The fourth proportional to 3,924.50, 5,871.63 and 3,896.42 is: 5,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.50 : 5,871.63 = 3,896.42 : x
  2. Step 2: Convert to fraction form
    3,924.50/5,871.63 = 3,896.42/x
  3. Step 3: Cross multiply
    3,924.50x = 5,871.63 × 3,896.42
  4. Step 4: Simplify right side
    3,924.50x = 22,878,336.56
  5. Step 5: Solve for x
    x = 22,878,336.56/3,924.50
  6. Step 6: Final answer
    x = 5,829.62

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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.