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Finding the Fourth Proportional to 5,901.91, 8,144.46 and 3,249.30

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Solution

The fourth proportional to 5,901.91, 8,144.46 and 3,249.30 is: 4,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.91 : 8,144.46 = 3,249.30 : x
  2. Step 2: Convert to fraction form
    5,901.91/8,144.46 = 3,249.30/x
  3. Step 3: Cross multiply
    5,901.91x = 8,144.46 × 3,249.30
  4. Step 4: Simplify right side
    5,901.91x = 26,463,793.88
  5. Step 5: Solve for x
    x = 26,463,793.88/5,901.91
  6. Step 6: Final answer
    x = 4,483.94

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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.