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Finding the Fourth Proportional to 3,387.86, 5,067.75 and 3,180.50

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Solution

The fourth proportional to 3,387.86, 5,067.75 and 3,180.50 is: 4,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.86 : 5,067.75 = 3,180.50 : x
  2. Step 2: Convert to fraction form
    3,387.86/5,067.75 = 3,180.50/x
  3. Step 3: Cross multiply
    3,387.86x = 5,067.75 × 3,180.50
  4. Step 4: Simplify right side
    3,387.86x = 16,117,978.88
  5. Step 5: Solve for x
    x = 16,117,978.88/3,387.86
  6. Step 6: Final answer
    x = 4,757.57

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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.