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Finding the Fourth Proportional to 5,540.52, 7,646.34 and 3,183.42

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Solution

The fourth proportional to 5,540.52, 7,646.34 and 3,183.42 is: 4,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.52 : 7,646.34 = 3,183.42 : x
  2. Step 2: Convert to fraction form
    5,540.52/7,646.34 = 3,183.42/x
  3. Step 3: Cross multiply
    5,540.52x = 7,646.34 × 3,183.42
  4. Step 4: Simplify right side
    5,540.52x = 24,341,511.68
  5. Step 5: Solve for x
    x = 24,341,511.68/5,540.52
  6. Step 6: Final answer
    x = 4,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.