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Finding the Fourth Proportional to 3,882.53, 5,823.83 and 960.86

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Solution

The fourth proportional to 3,882.53, 5,823.83 and 960.86 is: 1,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.53 : 5,823.83 = 960.86 : x
  2. Step 2: Convert to fraction form
    3,882.53/5,823.83 = 960.86/x
  3. Step 3: Cross multiply
    3,882.53x = 5,823.83 × 960.86
  4. Step 4: Simplify right side
    3,882.53x = 5,595,902.26
  5. Step 5: Solve for x
    x = 5,595,902.26/3,882.53
  6. Step 6: Final answer
    x = 1,441.30

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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.