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Finding the Fourth Proportional to 6,175.98, 8,523.34 and 3,522.78

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Solution

The fourth proportional to 6,175.98, 8,523.34 and 3,522.78 is: 4,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.98 : 8,523.34 = 3,522.78 : x
  2. Step 2: Convert to fraction form
    6,175.98/8,523.34 = 3,522.78/x
  3. Step 3: Cross multiply
    6,175.98x = 8,523.34 × 3,522.78
  4. Step 4: Simplify right side
    6,175.98x = 30,025,851.69
  5. Step 5: Solve for x
    x = 30,025,851.69/6,175.98
  6. Step 6: Final answer
    x = 4,861.71

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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.