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Finding the Fourth Proportional to 5,249.46, 7,867.71 and 2,653.14

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Solution

The fourth proportional to 5,249.46, 7,867.71 and 2,653.14 is: 3,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.46 : 7,867.71 = 2,653.14 : x
  2. Step 2: Convert to fraction form
    5,249.46/7,867.71 = 2,653.14/x
  3. Step 3: Cross multiply
    5,249.46x = 7,867.71 × 2,653.14
  4. Step 4: Simplify right side
    5,249.46x = 20,874,136.11
  5. Step 5: Solve for x
    x = 20,874,136.11/5,249.46
  6. Step 6: Final answer
    x = 3,976.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.