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Finding the Fourth Proportional to 3,827.12, 5,282.88 and 3,721.79

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Solution

The fourth proportional to 3,827.12, 5,282.88 and 3,721.79 is: 5,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.12 : 5,282.88 = 3,721.79 : x
  2. Step 2: Convert to fraction form
    3,827.12/5,282.88 = 3,721.79/x
  3. Step 3: Cross multiply
    3,827.12x = 5,282.88 × 3,721.79
  4. Step 4: Simplify right side
    3,827.12x = 19,661,743.54
  5. Step 5: Solve for x
    x = 19,661,743.54/3,827.12
  6. Step 6: Final answer
    x = 5,137.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.