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Finding the Fourth Proportional to 6,467.82, 8,926.55 and 3,951.38

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Solution

The fourth proportional to 6,467.82, 8,926.55 and 3,951.38 is: 5,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.82 : 8,926.55 = 3,951.38 : x
  2. Step 2: Convert to fraction form
    6,467.82/8,926.55 = 3,951.38/x
  3. Step 3: Cross multiply
    6,467.82x = 8,926.55 × 3,951.38
  4. Step 4: Simplify right side
    6,467.82x = 35,272,126.75
  5. Step 5: Solve for x
    x = 35,272,126.75/6,467.82
  6. Step 6: Final answer
    x = 5,453.48

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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.