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Finding the Fourth Proportional to 4,906.35, 6,766.06 and 3,725.37

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Solution

The fourth proportional to 4,906.35, 6,766.06 and 3,725.37 is: 5,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.35 : 6,766.06 = 3,725.37 : x
  2. Step 2: Convert to fraction form
    4,906.35/6,766.06 = 3,725.37/x
  3. Step 3: Cross multiply
    4,906.35x = 6,766.06 × 3,725.37
  4. Step 4: Simplify right side
    4,906.35x = 25,206,076.94
  5. Step 5: Solve for x
    x = 25,206,076.94/4,906.35
  6. Step 6: Final answer
    x = 5,137.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.