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Finding the Fourth Proportional to 3,961.88, 5,942.79 and 1,040.16

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Solution

The fourth proportional to 3,961.88, 5,942.79 and 1,040.16 is: 1,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.88 : 5,942.79 = 1,040.16 : x
  2. Step 2: Convert to fraction form
    3,961.88/5,942.79 = 1,040.16/x
  3. Step 3: Cross multiply
    3,961.88x = 5,942.79 × 1,040.16
  4. Step 4: Simplify right side
    3,961.88x = 6,181,452.45
  5. Step 5: Solve for x
    x = 6,181,452.45/3,961.88
  6. Step 6: Final answer
    x = 1,560.23

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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.