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Finding the Fourth Proportional to 3,675.57, 5,072.31 and 1,996.98

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Solution

The fourth proportional to 3,675.57, 5,072.31 and 1,996.98 is: 2,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.57 : 5,072.31 = 1,996.98 : x
  2. Step 2: Convert to fraction form
    3,675.57/5,072.31 = 1,996.98/x
  3. Step 3: Cross multiply
    3,675.57x = 5,072.31 × 1,996.98
  4. Step 4: Simplify right side
    3,675.57x = 10,129,301.62
  5. Step 5: Solve for x
    x = 10,129,301.62/3,675.57
  6. Step 6: Final answer
    x = 2,755.85

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1.5x scale

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.