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Finding the Fourth Proportional to 5,144, 7,099.68 and 2,936

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Solution

The fourth proportional to 5,144, 7,099.68 and 2,936 is: 4,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144 : 7,099.68 = 2,936 : x
  2. Step 2: Convert to fraction form
    5,144/7,099.68 = 2,936/x
  3. Step 3: Cross multiply
    5,144x = 7,099.68 × 2,936
  4. Step 4: Simplify right side
    5,144x = 20,844,660.48
  5. Step 5: Solve for x
    x = 20,844,660.48/5,144
  6. Step 6: Final answer
    x = 4,052.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.