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Finding the Fourth Proportional to 3,635.90, 5,450.11 and 1,446.18

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Solution

The fourth proportional to 3,635.90, 5,450.11 and 1,446.18 is: 2,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.90 : 5,450.11 = 1,446.18 : x
  2. Step 2: Convert to fraction form
    3,635.90/5,450.11 = 1,446.18/x
  3. Step 3: Cross multiply
    3,635.90x = 5,450.11 × 1,446.18
  4. Step 4: Simplify right side
    3,635.90x = 7,881,840.08
  5. Step 5: Solve for x
    x = 7,881,840.08/3,635.90
  6. Step 6: Final answer
    x = 2,167.78

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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.