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Finding the Fourth Proportional to 6,257.26, 8,634.63 and 3,462.76

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Solution

The fourth proportional to 6,257.26, 8,634.63 and 3,462.76 is: 4,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.26 : 8,634.63 = 3,462.76 : x
  2. Step 2: Convert to fraction form
    6,257.26/8,634.63 = 3,462.76/x
  3. Step 3: Cross multiply
    6,257.26x = 8,634.63 × 3,462.76
  4. Step 4: Simplify right side
    6,257.26x = 29,899,651.38
  5. Step 5: Solve for x
    x = 29,899,651.38/6,257.26
  6. Step 6: Final answer
    x = 4,778.39

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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.