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Finding the Fourth Proportional to 3,645.97, 5,463.83 and 2,083.63

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Solution

The fourth proportional to 3,645.97, 5,463.83 and 2,083.63 is: 3,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.97 : 5,463.83 = 2,083.63 : x
  2. Step 2: Convert to fraction form
    3,645.97/5,463.83 = 2,083.63/x
  3. Step 3: Cross multiply
    3,645.97x = 5,463.83 × 2,083.63
  4. Step 4: Simplify right side
    3,645.97x = 11,384,589.68
  5. Step 5: Solve for x
    x = 11,384,589.68/3,645.97
  6. Step 6: Final answer
    x = 3,122.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.