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Finding the Fourth Proportional to 4,976.17, 6,866.94 and 2,738.02

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Solution

The fourth proportional to 4,976.17, 6,866.94 and 2,738.02 is: 3,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.17 : 6,866.94 = 2,738.02 : x
  2. Step 2: Convert to fraction form
    4,976.17/6,866.94 = 2,738.02/x
  3. Step 3: Cross multiply
    4,976.17x = 6,866.94 × 2,738.02
  4. Step 4: Simplify right side
    4,976.17x = 18,801,819.06
  5. Step 5: Solve for x
    x = 18,801,819.06/4,976.17
  6. Step 6: Final answer
    x = 3,778.37

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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.