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Finding the Fourth Proportional to 6,171.45, 8,522.82 and 3,934.38

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Solution

The fourth proportional to 6,171.45, 8,522.82 and 3,934.38 is: 5,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.45 : 8,522.82 = 3,934.38 : x
  2. Step 2: Convert to fraction form
    6,171.45/8,522.82 = 3,934.38/x
  3. Step 3: Cross multiply
    6,171.45x = 8,522.82 × 3,934.38
  4. Step 4: Simplify right side
    6,171.45x = 33,532,012.55
  5. Step 5: Solve for x
    x = 33,532,012.55/6,171.45
  6. Step 6: Final answer
    x = 5,433.41

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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.