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Finding the Fourth Proportional to 3,891.14, 5,369.81 and 2,122.71

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Solution

The fourth proportional to 3,891.14, 5,369.81 and 2,122.71 is: 2,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.14 : 5,369.81 = 2,122.71 : x
  2. Step 2: Convert to fraction form
    3,891.14/5,369.81 = 2,122.71/x
  3. Step 3: Cross multiply
    3,891.14x = 5,369.81 × 2,122.71
  4. Step 4: Simplify right side
    3,891.14x = 11,398,549.39
  5. Step 5: Solve for x
    x = 11,398,549.39/3,891.14
  6. Step 6: Final answer
    x = 2,929.36

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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.