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Finding the Fourth Proportional to 3,205.91, 4,809.36 and 1,357.04

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Solution

The fourth proportional to 3,205.91, 4,809.36 and 1,357.04 is: 2,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.91 : 4,809.36 = 1,357.04 : x
  2. Step 2: Convert to fraction form
    3,205.91/4,809.36 = 1,357.04/x
  3. Step 3: Cross multiply
    3,205.91x = 4,809.36 × 1,357.04
  4. Step 4: Simplify right side
    3,205.91x = 6,526,469.85
  5. Step 5: Solve for x
    x = 6,526,469.85/3,205.91
  6. Step 6: Final answer
    x = 2,035.77

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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.