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Finding the Fourth Proportional to 3,839.73, 5,760.34 and 1,499.64

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Solution

The fourth proportional to 3,839.73, 5,760.34 and 1,499.64 is: 2,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.73 : 5,760.34 = 1,499.64 : x
  2. Step 2: Convert to fraction form
    3,839.73/5,760.34 = 1,499.64/x
  3. Step 3: Cross multiply
    3,839.73x = 5,760.34 × 1,499.64
  4. Step 4: Simplify right side
    3,839.73x = 8,638,436.28
  5. Step 5: Solve for x
    x = 8,638,436.28/3,839.73
  6. Step 6: Final answer
    x = 2,249.75

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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.