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Finding the Fourth Proportional to 3,661.21, 5,052.09 and 2,089

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Solution

The fourth proportional to 3,661.21, 5,052.09 and 2,089 is: 2,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.21 : 5,052.09 = 2,089 : x
  2. Step 2: Convert to fraction form
    3,661.21/5,052.09 = 2,089/x
  3. Step 3: Cross multiply
    3,661.21x = 5,052.09 × 2,089
  4. Step 4: Simplify right side
    3,661.21x = 10,553,816.01
  5. Step 5: Solve for x
    x = 10,553,816.01/3,661.21
  6. Step 6: Final answer
    x = 2,882.60

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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.