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Finding the Fourth Proportional to 4,094.92, 5,644.38 and 2,768.14

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Solution

The fourth proportional to 4,094.92, 5,644.38 and 2,768.14 is: 3,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.92 : 5,644.38 = 2,768.14 : x
  2. Step 2: Convert to fraction form
    4,094.92/5,644.38 = 2,768.14/x
  3. Step 3: Cross multiply
    4,094.92x = 5,644.38 × 2,768.14
  4. Step 4: Simplify right side
    4,094.92x = 15,624,434.05
  5. Step 5: Solve for x
    x = 15,624,434.05/4,094.92
  6. Step 6: Final answer
    x = 3,815.57

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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.