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Finding the Fourth Proportional to 3,761.92, 5,646.90 and 3,183.98

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Solution

The fourth proportional to 3,761.92, 5,646.90 and 3,183.98 is: 4,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.92 : 5,646.90 = 3,183.98 : x
  2. Step 2: Convert to fraction form
    3,761.92/5,646.90 = 3,183.98/x
  3. Step 3: Cross multiply
    3,761.92x = 5,646.90 × 3,183.98
  4. Step 4: Simplify right side
    3,761.92x = 17,979,616.66
  5. Step 5: Solve for x
    x = 17,979,616.66/3,761.92
  6. Step 6: Final answer
    x = 4,779.38

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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.