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Finding the Fourth Proportional to 5,738.80, 7,921.24 and 3,381.70

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Solution

The fourth proportional to 5,738.80, 7,921.24 and 3,381.70 is: 4,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.80 : 7,921.24 = 3,381.70 : x
  2. Step 2: Convert to fraction form
    5,738.80/7,921.24 = 3,381.70/x
  3. Step 3: Cross multiply
    5,738.80x = 7,921.24 × 3,381.70
  4. Step 4: Simplify right side
    5,738.80x = 26,787,257.31
  5. Step 5: Solve for x
    x = 26,787,257.31/5,738.80
  6. Step 6: Final answer
    x = 4,667.75

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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.