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Finding the Fourth Proportional to 5,228.82, 7,843.26 and 1,333.26

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Solution

The fourth proportional to 5,228.82, 7,843.26 and 1,333.26 is: 1,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.82 : 7,843.26 = 1,333.26 : x
  2. Step 2: Convert to fraction form
    5,228.82/7,843.26 = 1,333.26/x
  3. Step 3: Cross multiply
    5,228.82x = 7,843.26 × 1,333.26
  4. Step 4: Simplify right side
    5,228.82x = 10,457,104.83
  5. Step 5: Solve for x
    x = 10,457,104.83/5,228.82
  6. Step 6: Final answer
    x = 1,999.90

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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.