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Finding the Fourth Proportional to 3,967.25, 5,924.79 and 3,188.43

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Solution

The fourth proportional to 3,967.25, 5,924.79 and 3,188.43 is: 4,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.25 : 5,924.79 = 3,188.43 : x
  2. Step 2: Convert to fraction form
    3,967.25/5,924.79 = 3,188.43/x
  3. Step 3: Cross multiply
    3,967.25x = 5,924.79 × 3,188.43
  4. Step 4: Simplify right side
    3,967.25x = 18,890,778.18
  5. Step 5: Solve for x
    x = 18,890,778.18/3,967.25
  6. Step 6: Final answer
    x = 4,761.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.