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Finding the Fourth Proportional to 2,857.49, 3,944.52 and 2,071.38

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Solution

The fourth proportional to 2,857.49, 3,944.52 and 2,071.38 is: 2,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.49 : 3,944.52 = 2,071.38 : x
  2. Step 2: Convert to fraction form
    2,857.49/3,944.52 = 2,071.38/x
  3. Step 3: Cross multiply
    2,857.49x = 3,944.52 × 2,071.38
  4. Step 4: Simplify right side
    2,857.49x = 8,170,599.84
  5. Step 5: Solve for x
    x = 8,170,599.84/2,857.49
  6. Step 6: Final answer
    x = 2,859.37

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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.