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Finding the Fourth Proportional to 3,937.50, 5,433.76 and 2,169.27

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Solution

The fourth proportional to 3,937.50, 5,433.76 and 2,169.27 is: 2,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.50 : 5,433.76 = 2,169.27 : x
  2. Step 2: Convert to fraction form
    3,937.50/5,433.76 = 2,169.27/x
  3. Step 3: Cross multiply
    3,937.50x = 5,433.76 × 2,169.27
  4. Step 4: Simplify right side
    3,937.50x = 11,787,292.56
  5. Step 5: Solve for x
    x = 11,787,292.56/3,937.50
  6. Step 6: Final answer
    x = 2,993.60

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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.