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Finding the Fourth Proportional to 3,882.15, 5,823.12 and 960.48

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Solution

The fourth proportional to 3,882.15, 5,823.12 and 960.48 is: 1,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.15 : 5,823.12 = 960.48 : x
  2. Step 2: Convert to fraction form
    3,882.15/5,823.12 = 960.48/x
  3. Step 3: Cross multiply
    3,882.15x = 5,823.12 × 960.48
  4. Step 4: Simplify right side
    3,882.15x = 5,592,990.30
  5. Step 5: Solve for x
    x = 5,592,990.30/3,882.15
  6. Step 6: Final answer
    x = 1,440.69

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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.