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Finding the Fourth Proportional to 4,249.86, 6,373.83 and 1,616.43

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Solution

The fourth proportional to 4,249.86, 6,373.83 and 1,616.43 is: 2,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.86 : 6,373.83 = 1,616.43 : x
  2. Step 2: Convert to fraction form
    4,249.86/6,373.83 = 1,616.43/x
  3. Step 3: Cross multiply
    4,249.86x = 6,373.83 × 1,616.43
  4. Step 4: Simplify right side
    4,249.86x = 10,302,843.97
  5. Step 5: Solve for x
    x = 10,302,843.97/4,249.86
  6. Step 6: Final answer
    x = 2,424.28

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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.