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Finding the Fourth Proportional to 4,936.43, 7,401.15 and 2,469.48

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Solution

The fourth proportional to 4,936.43, 7,401.15 and 2,469.48 is: 3,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.43 : 7,401.15 = 2,469.48 : x
  2. Step 2: Convert to fraction form
    4,936.43/7,401.15 = 2,469.48/x
  3. Step 3: Cross multiply
    4,936.43x = 7,401.15 × 2,469.48
  4. Step 4: Simplify right side
    4,936.43x = 18,276,991.90
  5. Step 5: Solve for x
    x = 18,276,991.90/4,936.43
  6. Step 6: Final answer
    x = 3,702.47

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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.