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Finding the Fourth Proportional to 3,937.53, 5,433.78 and 2,169.24

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Solution

The fourth proportional to 3,937.53, 5,433.78 and 2,169.24 is: 2,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.53 : 5,433.78 = 2,169.24 : x
  2. Step 2: Convert to fraction form
    3,937.53/5,433.78 = 2,169.24/x
  3. Step 3: Cross multiply
    3,937.53x = 5,433.78 × 2,169.24
  4. Step 4: Simplify right side
    3,937.53x = 11,787,172.93
  5. Step 5: Solve for x
    x = 11,787,172.93/3,937.53
  6. Step 6: Final answer
    x = 2,993.54

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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.