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Finding the Fourth Proportional to 3,674.82, 5,071.69 and 2,102.88

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Solution

The fourth proportional to 3,674.82, 5,071.69 and 2,102.88 is: 2,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.82 : 5,071.69 = 2,102.88 : x
  2. Step 2: Convert to fraction form
    3,674.82/5,071.69 = 2,102.88/x
  3. Step 3: Cross multiply
    3,674.82x = 5,071.69 × 2,102.88
  4. Step 4: Simplify right side
    3,674.82x = 10,665,124.85
  5. Step 5: Solve for x
    x = 10,665,124.85/3,674.82
  6. Step 6: Final answer
    x = 2,902.22

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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.