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Finding the Fourth Proportional to 3,670.82, 5,496.50 and 2,207.96

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Solution

The fourth proportional to 3,670.82, 5,496.50 and 2,207.96 is: 3,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.82 : 5,496.50 = 2,207.96 : x
  2. Step 2: Convert to fraction form
    3,670.82/5,496.50 = 2,207.96/x
  3. Step 3: Cross multiply
    3,670.82x = 5,496.50 × 2,207.96
  4. Step 4: Simplify right side
    3,670.82x = 12,136,052.14
  5. Step 5: Solve for x
    x = 12,136,052.14/3,670.82
  6. Step 6: Final answer
    x = 3,306.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.