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Finding the Fourth Proportional to 3,674.96, 5,071.33 and 1,996.32

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Solution

The fourth proportional to 3,674.96, 5,071.33 and 1,996.32 is: 2,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.96 : 5,071.33 = 1,996.32 : x
  2. Step 2: Convert to fraction form
    3,674.96/5,071.33 = 1,996.32/x
  3. Step 3: Cross multiply
    3,674.96x = 5,071.33 × 1,996.32
  4. Step 4: Simplify right side
    3,674.96x = 10,124,010.37
  5. Step 5: Solve for x
    x = 10,124,010.37/3,674.96
  6. Step 6: Final answer
    x = 2,754.86

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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.