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Finding the Fourth Proportional to 5,863.58, 8,091.75 and 3,211.00

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Solution

The fourth proportional to 5,863.58, 8,091.75 and 3,211.00 is: 4,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.58 : 8,091.75 = 3,211.00 : x
  2. Step 2: Convert to fraction form
    5,863.58/8,091.75 = 3,211.00/x
  3. Step 3: Cross multiply
    5,863.58x = 8,091.75 × 3,211.00
  4. Step 4: Simplify right side
    5,863.58x = 25,982,568.79
  5. Step 5: Solve for x
    x = 25,982,568.79/5,863.58
  6. Step 6: Final answer
    x = 4,431.18

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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.