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Finding the Fourth Proportional to 3,649.38, 5,037.84 and 2,769.18

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Solution

The fourth proportional to 3,649.38, 5,037.84 and 2,769.18 is: 3,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.38 : 5,037.84 = 2,769.18 : x
  2. Step 2: Convert to fraction form
    3,649.38/5,037.84 = 2,769.18/x
  3. Step 3: Cross multiply
    3,649.38x = 5,037.84 × 2,769.18
  4. Step 4: Simplify right side
    3,649.38x = 13,950,685.77
  5. Step 5: Solve for x
    x = 13,950,685.77/3,649.38
  6. Step 6: Final answer
    x = 3,822.76

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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.