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Finding the Fourth Proportional to 5,755.86, 7,942.62 and 3,238.38

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Solution

The fourth proportional to 5,755.86, 7,942.62 and 3,238.38 is: 4,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.86 : 7,942.62 = 3,238.38 : x
  2. Step 2: Convert to fraction form
    5,755.86/7,942.62 = 3,238.38/x
  3. Step 3: Cross multiply
    5,755.86x = 7,942.62 × 3,238.38
  4. Step 4: Simplify right side
    5,755.86x = 25,721,221.76
  5. Step 5: Solve for x
    x = 25,721,221.76/5,755.86
  6. Step 6: Final answer
    x = 4,468.70

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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.