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Finding the Fourth Proportional to 3,249.84, 4,463.16 and 2,724.96

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Solution

The fourth proportional to 3,249.84, 4,463.16 and 2,724.96 is: 3,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.84 : 4,463.16 = 2,724.96 : x
  2. Step 2: Convert to fraction form
    3,249.84/4,463.16 = 2,724.96/x
  3. Step 3: Cross multiply
    3,249.84x = 4,463.16 × 2,724.96
  4. Step 4: Simplify right side
    3,249.84x = 12,161,932.47
  5. Step 5: Solve for x
    x = 12,161,932.47/3,249.84
  6. Step 6: Final answer
    x = 3,742.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.