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Finding the Fourth Proportional to 3,678.98, 5,517.64 and 1,082.12

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Solution

The fourth proportional to 3,678.98, 5,517.64 and 1,082.12 is: 1,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.98 : 5,517.64 = 1,082.12 : x
  2. Step 2: Convert to fraction form
    3,678.98/5,517.64 = 1,082.12/x
  3. Step 3: Cross multiply
    3,678.98x = 5,517.64 × 1,082.12
  4. Step 4: Simplify right side
    3,678.98x = 5,970,748.60
  5. Step 5: Solve for x
    x = 5,970,748.60/3,678.98
  6. Step 6: Final answer
    x = 1,622.94

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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.