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Finding the Fourth Proportional to 3,661.97, 5,053.50 and 1,983.35

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Solution

The fourth proportional to 3,661.97, 5,053.50 and 1,983.35 is: 2,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.97 : 5,053.50 = 1,983.35 : x
  2. Step 2: Convert to fraction form
    3,661.97/5,053.50 = 1,983.35/x
  3. Step 3: Cross multiply
    3,661.97x = 5,053.50 × 1,983.35
  4. Step 4: Simplify right side
    3,661.97x = 10,022,859.23
  5. Step 5: Solve for x
    x = 10,022,859.23/3,661.97
  6. Step 6: Final answer
    x = 2,737.01

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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.