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Finding the Fourth Proportional to 3,936.77, 5,432.76 and 2,168.38

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Solution

The fourth proportional to 3,936.77, 5,432.76 and 2,168.38 is: 2,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.77 : 5,432.76 = 2,168.38 : x
  2. Step 2: Convert to fraction form
    3,936.77/5,432.76 = 2,168.38/x
  3. Step 3: Cross multiply
    3,936.77x = 5,432.76 × 2,168.38
  4. Step 4: Simplify right side
    3,936.77x = 11,780,274.19
  5. Step 5: Solve for x
    x = 11,780,274.19/3,936.77
  6. Step 6: Final answer
    x = 2,992.37

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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.