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Finding the Fourth Proportional to 3,827.63, 5,282.13 and 2,171.63

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Solution

The fourth proportional to 3,827.63, 5,282.13 and 2,171.63 is: 2,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.63 : 5,282.13 = 2,171.63 : x
  2. Step 2: Convert to fraction form
    3,827.63/5,282.13 = 2,171.63/x
  3. Step 3: Cross multiply
    3,827.63x = 5,282.13 × 2,171.63
  4. Step 4: Simplify right side
    3,827.63x = 11,470,805.56
  5. Step 5: Solve for x
    x = 11,470,805.56/3,827.63
  6. Step 6: Final answer
    x = 2,996.85

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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.