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Finding the Fourth Proportional to 5,863.64, 8,091.83 and 3,211.05

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Solution

The fourth proportional to 5,863.64, 8,091.83 and 3,211.05 is: 4,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.64 : 8,091.83 = 3,211.05 : x
  2. Step 2: Convert to fraction form
    5,863.64/8,091.83 = 3,211.05/x
  3. Step 3: Cross multiply
    5,863.64x = 8,091.83 × 3,211.05
  4. Step 4: Simplify right side
    5,863.64x = 25,983,270.72
  5. Step 5: Solve for x
    x = 25,983,270.72/5,863.64
  6. Step 6: Final answer
    x = 4,431.25

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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.