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Finding the Fourth Proportional to 3,832.48, 5,747.28 and 1,366.63

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Solution

The fourth proportional to 3,832.48, 5,747.28 and 1,366.63 is: 2,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.48 : 5,747.28 = 1,366.63 : x
  2. Step 2: Convert to fraction form
    3,832.48/5,747.28 = 1,366.63/x
  3. Step 3: Cross multiply
    3,832.48x = 5,747.28 × 1,366.63
  4. Step 4: Simplify right side
    3,832.48x = 7,854,405.27
  5. Step 5: Solve for x
    x = 7,854,405.27/3,832.48
  6. Step 6: Final answer
    x = 2,049.43

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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.