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Finding the Fourth Proportional to 3,674.72, 5,071.08 and 1,996.11

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Solution

The fourth proportional to 3,674.72, 5,071.08 and 1,996.11 is: 2,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.72 : 5,071.08 = 1,996.11 : x
  2. Step 2: Convert to fraction form
    3,674.72/5,071.08 = 1,996.11/x
  3. Step 3: Cross multiply
    3,674.72x = 5,071.08 × 1,996.11
  4. Step 4: Simplify right side
    3,674.72x = 10,122,433.50
  5. Step 5: Solve for x
    x = 10,122,433.50/3,674.72
  6. Step 6: Final answer
    x = 2,754.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.