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Finding the Fourth Proportional to 3,644.13, 5,028.71 and 2,072.13

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Solution

The fourth proportional to 3,644.13, 5,028.71 and 2,072.13 is: 2,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.13 : 5,028.71 = 2,072.13 : x
  2. Step 2: Convert to fraction form
    3,644.13/5,028.71 = 2,072.13/x
  3. Step 3: Cross multiply
    3,644.13x = 5,028.71 × 2,072.13
  4. Step 4: Simplify right side
    3,644.13x = 10,420,140.85
  5. Step 5: Solve for x
    x = 10,420,140.85/3,644.13
  6. Step 6: Final answer
    x = 2,859.43

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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.