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Finding the Fourth Proportional to 3,838.08, 5,744.92 and 3,143.08

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Solution

The fourth proportional to 3,838.08, 5,744.92 and 3,143.08 is: 4,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.08 : 5,744.92 = 3,143.08 : x
  2. Step 2: Convert to fraction form
    3,838.08/5,744.92 = 3,143.08/x
  3. Step 3: Cross multiply
    3,838.08x = 5,744.92 × 3,143.08
  4. Step 4: Simplify right side
    3,838.08x = 18,056,743.15
  5. Step 5: Solve for x
    x = 18,056,743.15/3,838.08
  6. Step 6: Final answer
    x = 4,704.63

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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.