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Finding the Fourth Proportional to 3,238.43, 4,858.25 and 1,046.57

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Solution

The fourth proportional to 3,238.43, 4,858.25 and 1,046.57 is: 1,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.43 : 4,858.25 = 1,046.57 : x
  2. Step 2: Convert to fraction form
    3,238.43/4,858.25 = 1,046.57/x
  3. Step 3: Cross multiply
    3,238.43x = 4,858.25 × 1,046.57
  4. Step 4: Simplify right side
    3,238.43x = 5,084,469.18
  5. Step 5: Solve for x
    x = 5,084,469.18/3,238.43
  6. Step 6: Final answer
    x = 1,570.04

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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.