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Finding the Fourth Proportional to 3,231.53, 4,843.16 and 2,813.35

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Solution

The fourth proportional to 3,231.53, 4,843.16 and 2,813.35 is: 4,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.53 : 4,843.16 = 2,813.35 : x
  2. Step 2: Convert to fraction form
    3,231.53/4,843.16 = 2,813.35/x
  3. Step 3: Cross multiply
    3,231.53x = 4,843.16 × 2,813.35
  4. Step 4: Simplify right side
    3,231.53x = 13,625,504.19
  5. Step 5: Solve for x
    x = 13,625,504.19/3,231.53
  6. Step 6: Final answer
    x = 4,216.43

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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.