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Finding the Fourth Proportional to 3,205.29, 4,804.19 and 2,840.79

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Solution

The fourth proportional to 3,205.29, 4,804.19 and 2,840.79 is: 4,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.29 : 4,804.19 = 2,840.79 : x
  2. Step 2: Convert to fraction form
    3,205.29/4,804.19 = 2,840.79/x
  3. Step 3: Cross multiply
    3,205.29x = 4,804.19 × 2,840.79
  4. Step 4: Simplify right side
    3,205.29x = 13,647,694.91
  5. Step 5: Solve for x
    x = 13,647,694.91/3,205.29
  6. Step 6: Final answer
    x = 4,257.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.