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Finding the Fourth Proportional to 4,894.27, 6,754.43 and 2,769.80

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Solution

The fourth proportional to 4,894.27, 6,754.43 and 2,769.80 is: 3,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.27 : 6,754.43 = 2,769.80 : x
  2. Step 2: Convert to fraction form
    4,894.27/6,754.43 = 2,769.80/x
  3. Step 3: Cross multiply
    4,894.27x = 6,754.43 × 2,769.80
  4. Step 4: Simplify right side
    4,894.27x = 18,708,415.78
  5. Step 5: Solve for x
    x = 18,708,415.78/4,894.27
  6. Step 6: Final answer
    x = 3,822.51

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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.