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Finding the Fourth Proportional to 3,441.77, 5,153.88 and 2,268.21

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Solution

The fourth proportional to 3,441.77, 5,153.88 and 2,268.21 is: 3,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.77 : 5,153.88 = 2,268.21 : x
  2. Step 2: Convert to fraction form
    3,441.77/5,153.88 = 2,268.21/x
  3. Step 3: Cross multiply
    3,441.77x = 5,153.88 × 2,268.21
  4. Step 4: Simplify right side
    3,441.77x = 11,690,082.15
  5. Step 5: Solve for x
    x = 11,690,082.15/3,441.77
  6. Step 6: Final answer
    x = 3,396.54

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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.