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Finding the Fourth Proportional to 3,983.84, 5,974.95 and 3,786.26

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Solution

The fourth proportional to 3,983.84, 5,974.95 and 3,786.26 is: 5,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.84 : 5,974.95 = 3,786.26 : x
  2. Step 2: Convert to fraction form
    3,983.84/5,974.95 = 3,786.26/x
  3. Step 3: Cross multiply
    3,983.84x = 5,974.95 × 3,786.26
  4. Step 4: Simplify right side
    3,983.84x = 22,622,729.12
  5. Step 5: Solve for x
    x = 22,622,729.12/3,983.84
  6. Step 6: Final answer
    x = 5,678.63

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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.