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Finding the Fourth Proportional to 3,937.37, 5,906.87 and 3,292.61

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Solution

The fourth proportional to 3,937.37, 5,906.87 and 3,292.61 is: 4,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.37 : 5,906.87 = 3,292.61 : x
  2. Step 2: Convert to fraction form
    3,937.37/5,906.87 = 3,292.61/x
  3. Step 3: Cross multiply
    3,937.37x = 5,906.87 × 3,292.61
  4. Step 4: Simplify right side
    3,937.37x = 19,449,019.23
  5. Step 5: Solve for x
    x = 19,449,019.23/3,937.37
  6. Step 6: Final answer
    x = 4,939.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.