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Finding the Fourth Proportional to 2,857.16, 3,944.32 and 2,704.54

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Solution

The fourth proportional to 2,857.16, 3,944.32 and 2,704.54 is: 3,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.16 : 3,944.32 = 2,704.54 : x
  2. Step 2: Convert to fraction form
    2,857.16/3,944.32 = 2,704.54/x
  3. Step 3: Cross multiply
    2,857.16x = 3,944.32 × 2,704.54
  4. Step 4: Simplify right side
    2,857.16x = 10,667,569.38
  5. Step 5: Solve for x
    x = 10,667,569.38/2,857.16
  6. Step 6: Final answer
    x = 3,733.63

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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.