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Finding the Fourth Proportional to 6,175.86, 8,524.01 and 3,937.22

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Solution

The fourth proportional to 6,175.86, 8,524.01 and 3,937.22 is: 5,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.86 : 8,524.01 = 3,937.22 : x
  2. Step 2: Convert to fraction form
    6,175.86/8,524.01 = 3,937.22/x
  3. Step 3: Cross multiply
    6,175.86x = 8,524.01 × 3,937.22
  4. Step 4: Simplify right side
    6,175.86x = 33,560,902.65
  5. Step 5: Solve for x
    x = 33,560,902.65/6,175.86
  6. Step 6: Final answer
    x = 5,434.21

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