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Finding the Fourth Proportional to 3,674.74, 5,071.14 and 1,996.15

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Solution

The fourth proportional to 3,674.74, 5,071.14 and 1,996.15 is: 2,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.74 : 5,071.14 = 1,996.15 : x
  2. Step 2: Convert to fraction form
    3,674.74/5,071.14 = 1,996.15/x
  3. Step 3: Cross multiply
    3,674.74x = 5,071.14 × 1,996.15
  4. Step 4: Simplify right side
    3,674.74x = 10,122,740.86
  5. Step 5: Solve for x
    x = 10,122,740.86/3,674.74
  6. Step 6: Final answer
    x = 2,754.68

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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.