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Finding the Fourth Proportional to 3,923.54, 5,414.73 and 2,744.99

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Solution

The fourth proportional to 3,923.54, 5,414.73 and 2,744.99 is: 3,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.54 : 5,414.73 = 2,744.99 : x
  2. Step 2: Convert to fraction form
    3,923.54/5,414.73 = 2,744.99/x
  3. Step 3: Cross multiply
    3,923.54x = 5,414.73 × 2,744.99
  4. Step 4: Simplify right side
    3,923.54x = 14,863,352.63
  5. Step 5: Solve for x
    x = 14,863,352.63/3,923.54
  6. Step 6: Final answer
    x = 3,788.26

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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.