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Finding the Fourth Proportional to 3,882.75, 5,824.13 and 1,661.27

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Solution

The fourth proportional to 3,882.75, 5,824.13 and 1,661.27 is: 2,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.75 : 5,824.13 = 1,661.27 : x
  2. Step 2: Convert to fraction form
    3,882.75/5,824.13 = 1,661.27/x
  3. Step 3: Cross multiply
    3,882.75x = 5,824.13 × 1,661.27
  4. Step 4: Simplify right side
    3,882.75x = 9,675,415.02
  5. Step 5: Solve for x
    x = 9,675,415.02/3,882.75
  6. Step 6: Final answer
    x = 2,491.90

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.