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Finding the Fourth Proportional to 6,172, 8,517.44 and 3,377.44

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Solution

The fourth proportional to 6,172, 8,517.44 and 3,377.44 is: 4,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172 : 8,517.44 = 3,377.44 : x
  2. Step 2: Convert to fraction form
    6,172/8,517.44 = 3,377.44/x
  3. Step 3: Cross multiply
    6,172x = 8,517.44 × 3,377.44
  4. Step 4: Simplify right side
    6,172x = 28,767,142.55
  5. Step 5: Solve for x
    x = 28,767,142.55/6,172
  6. Step 6: Final answer
    x = 4,660.91

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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.