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Finding the Fourth Proportional to 6,351.78, 8,772.39 and 4,952.46

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Solution

The fourth proportional to 6,351.78, 8,772.39 and 4,952.46 is: 6,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.78 : 8,772.39 = 4,952.46 : x
  2. Step 2: Convert to fraction form
    6,351.78/8,772.39 = 4,952.46/x
  3. Step 3: Cross multiply
    6,351.78x = 8,772.39 × 4,952.46
  4. Step 4: Simplify right side
    6,351.78x = 43,444,910.58
  5. Step 5: Solve for x
    x = 43,444,910.58/6,351.78
  6. Step 6: Final answer
    x = 6,839.80

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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.