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Finding the Fourth Proportional to 3,836.69, 5,721.45 and 3,801.66

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Solution

The fourth proportional to 3,836.69, 5,721.45 and 3,801.66 is: 5,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.69 : 5,721.45 = 3,801.66 : x
  2. Step 2: Convert to fraction form
    3,836.69/5,721.45 = 3,801.66/x
  3. Step 3: Cross multiply
    3,836.69x = 5,721.45 × 3,801.66
  4. Step 4: Simplify right side
    3,836.69x = 21,751,007.61
  5. Step 5: Solve for x
    x = 21,751,007.61/3,836.69
  6. Step 6: Final answer
    x = 5,669.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.