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Finding the Fourth Proportional to 3,949.70, 5,450.59 and 2,157.19

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Solution

The fourth proportional to 3,949.70, 5,450.59 and 2,157.19 is: 2,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.70 : 5,450.59 = 2,157.19 : x
  2. Step 2: Convert to fraction form
    3,949.70/5,450.59 = 2,157.19/x
  3. Step 3: Cross multiply
    3,949.70x = 5,450.59 × 2,157.19
  4. Step 4: Simplify right side
    3,949.70x = 11,757,963.64
  5. Step 5: Solve for x
    x = 11,757,963.64/3,949.70
  6. Step 6: Final answer
    x = 2,976.93

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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.