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Finding the Fourth Proportional to 3,796, 5,677.71 and 2,744.17

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Solution

The fourth proportional to 3,796, 5,677.71 and 2,744.17 is: 4,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796 : 5,677.71 = 2,744.17 : x
  2. Step 2: Convert to fraction form
    3,796/5,677.71 = 2,744.17/x
  3. Step 3: Cross multiply
    3,796x = 5,677.71 × 2,744.17
  4. Step 4: Simplify right side
    3,796x = 15,580,601.45
  5. Step 5: Solve for x
    x = 15,580,601.45/3,796
  6. Step 6: Final answer
    x = 4,104.48

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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.