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Finding the Fourth Proportional to 3,661.48, 5,052.79 and 1,982.85

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Solution

The fourth proportional to 3,661.48, 5,052.79 and 1,982.85 is: 2,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.48 : 5,052.79 = 1,982.85 : x
  2. Step 2: Convert to fraction form
    3,661.48/5,052.79 = 1,982.85/x
  3. Step 3: Cross multiply
    3,661.48x = 5,052.79 × 1,982.85
  4. Step 4: Simplify right side
    3,661.48x = 10,018,924.65
  5. Step 5: Solve for x
    x = 10,018,924.65/3,661.48
  6. Step 6: Final answer
    x = 2,736.30

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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.