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Finding the Fourth Proportional to 3,882.01, 5,822.91 and 960.34

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Solution

The fourth proportional to 3,882.01, 5,822.91 and 960.34 is: 1,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.01 : 5,822.91 = 960.34 : x
  2. Step 2: Convert to fraction form
    3,882.01/5,822.91 = 960.34/x
  3. Step 3: Cross multiply
    3,882.01x = 5,822.91 × 960.34
  4. Step 4: Simplify right side
    3,882.01x = 5,591,973.39
  5. Step 5: Solve for x
    x = 5,591,973.39/3,882.01
  6. Step 6: Final answer
    x = 1,440.48

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