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Finding the Fourth Proportional to 4,321.82, 6,481.82 and 1,857.80

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Solution

The fourth proportional to 4,321.82, 6,481.82 and 1,857.80 is: 2,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.82 : 6,481.82 = 1,857.80 : x
  2. Step 2: Convert to fraction form
    4,321.82/6,481.82 = 1,857.80/x
  3. Step 3: Cross multiply
    4,321.82x = 6,481.82 × 1,857.80
  4. Step 4: Simplify right side
    4,321.82x = 12,041,946.05
  5. Step 5: Solve for x
    x = 12,041,946.05/4,321.82
  6. Step 6: Final answer
    x = 2,786.31

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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.