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Finding the Fourth Proportional to 3,806.29, 5,252.57 and 2,127.71

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Solution

The fourth proportional to 3,806.29, 5,252.57 and 2,127.71 is: 2,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.29 : 5,252.57 = 2,127.71 : x
  2. Step 2: Convert to fraction form
    3,806.29/5,252.57 = 2,127.71/x
  3. Step 3: Cross multiply
    3,806.29x = 5,252.57 × 2,127.71
  4. Step 4: Simplify right side
    3,806.29x = 11,175,945.71
  5. Step 5: Solve for x
    x = 11,175,945.71/3,806.29
  6. Step 6: Final answer
    x = 2,936.18

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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.