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Finding the Fourth Proportional to 3,952.26, 5,454.12 and 2,183.87

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Solution

The fourth proportional to 3,952.26, 5,454.12 and 2,183.87 is: 3,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.26 : 5,454.12 = 2,183.87 : x
  2. Step 2: Convert to fraction form
    3,952.26/5,454.12 = 2,183.87/x
  3. Step 3: Cross multiply
    3,952.26x = 5,454.12 × 2,183.87
  4. Step 4: Simplify right side
    3,952.26x = 11,911,089.04
  5. Step 5: Solve for x
    x = 11,911,089.04/3,952.26
  6. Step 6: Final answer
    x = 3,013.74

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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.