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Finding the Fourth Proportional to 3,882.64, 5,823.89 and 960.95

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Solution

The fourth proportional to 3,882.64, 5,823.89 and 960.95 is: 1,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.64 : 5,823.89 = 960.95 : x
  2. Step 2: Convert to fraction form
    3,882.64/5,823.89 = 960.95/x
  3. Step 3: Cross multiply
    3,882.64x = 5,823.89 × 960.95
  4. Step 4: Simplify right side
    3,882.64x = 5,596,467.10
  5. Step 5: Solve for x
    x = 5,596,467.10/3,882.64
  6. Step 6: Final answer
    x = 1,441.41

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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.