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Finding the Fourth Proportional to 5,936.42, 8,229.72 and 5,620.42

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Solution

The fourth proportional to 5,936.42, 8,229.72 and 5,620.42 is: 7,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.42 : 8,229.72 = 5,620.42 : x
  2. Step 2: Convert to fraction form
    5,936.42/8,229.72 = 5,620.42/x
  3. Step 3: Cross multiply
    5,936.42x = 8,229.72 × 5,620.42
  4. Step 4: Simplify right side
    5,936.42x = 46,254,514.25
  5. Step 5: Solve for x
    x = 46,254,514.25/5,936.42
  6. Step 6: Final answer
    x = 7,791.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.