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Finding the Fourth Proportional to 6,175.71, 8,522.69 and 3,753.09

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Solution

The fourth proportional to 6,175.71, 8,522.69 and 3,753.09 is: 5,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.71 : 8,522.69 = 3,753.09 : x
  2. Step 2: Convert to fraction form
    6,175.71/8,522.69 = 3,753.09/x
  3. Step 3: Cross multiply
    6,175.71x = 8,522.69 × 3,753.09
  4. Step 4: Simplify right side
    6,175.71x = 31,986,403.85
  5. Step 5: Solve for x
    x = 31,986,403.85/6,175.71
  6. Step 6: Final answer
    x = 5,179.39

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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.