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Finding the Fourth Proportional to 3,661.43, 5,052.75 and 1,982.80

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Solution

The fourth proportional to 3,661.43, 5,052.75 and 1,982.80 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.43 : 5,052.75 = 1,982.80 : x
  2. Step 2: Convert to fraction form
    3,661.43/5,052.75 = 1,982.80/x
  3. Step 3: Cross multiply
    3,661.43x = 5,052.75 × 1,982.80
  4. Step 4: Simplify right side
    3,661.43x = 10,018,563.84
  5. Step 5: Solve for x
    x = 10,018,563.84/3,661.43
  6. Step 6: Final answer
    x = 2,736.25

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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.