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Finding the Fourth Proportional to 3,965.52, 5,944.60 and 1,367.84

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Solution

The fourth proportional to 3,965.52, 5,944.60 and 1,367.84 is: 2,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.52 : 5,944.60 = 1,367.84 : x
  2. Step 2: Convert to fraction form
    3,965.52/5,944.60 = 1,367.84/x
  3. Step 3: Cross multiply
    3,965.52x = 5,944.60 × 1,367.84
  4. Step 4: Simplify right side
    3,965.52x = 8,131,261.66
  5. Step 5: Solve for x
    x = 8,131,261.66/3,965.52
  6. Step 6: Final answer
    x = 2,050.49

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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.