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Finding the Fourth Proportional to 3,674.97, 5,071.37 and 1,996.34

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Solution

The fourth proportional to 3,674.97, 5,071.37 and 1,996.34 is: 2,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.97 : 5,071.37 = 1,996.34 : x
  2. Step 2: Convert to fraction form
    3,674.97/5,071.37 = 1,996.34/x
  3. Step 3: Cross multiply
    3,674.97x = 5,071.37 × 1,996.34
  4. Step 4: Simplify right side
    3,674.97x = 10,124,143.45
  5. Step 5: Solve for x
    x = 10,124,143.45/3,674.97
  6. Step 6: Final answer
    x = 2,754.89

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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.