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Finding the Fourth Proportional to 3,639.53, 5,022.56 and 1,983.53

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Solution

The fourth proportional to 3,639.53, 5,022.56 and 1,983.53 is: 2,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.53 : 5,022.56 = 1,983.53 : x
  2. Step 2: Convert to fraction form
    3,639.53/5,022.56 = 1,983.53/x
  3. Step 3: Cross multiply
    3,639.53x = 5,022.56 × 1,983.53
  4. Step 4: Simplify right side
    3,639.53x = 9,962,398.44
  5. Step 5: Solve for x
    x = 9,962,398.44/3,639.53
  6. Step 6: Final answer
    x = 2,737.28

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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.