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Finding the Fourth Proportional to 3,937.53, 5,433.74 and 2,169.10

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Solution

The fourth proportional to 3,937.53, 5,433.74 and 2,169.10 is: 2,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.53 : 5,433.74 = 2,169.10 : x
  2. Step 2: Convert to fraction form
    3,937.53/5,433.74 = 2,169.10/x
  3. Step 3: Cross multiply
    3,937.53x = 5,433.74 × 2,169.10
  4. Step 4: Simplify right side
    3,937.53x = 11,786,305.05
  5. Step 5: Solve for x
    x = 11,786,305.05/3,937.53
  6. Step 6: Final answer
    x = 2,993.33

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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.