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Finding the Fourth Proportional to 5,108.13, 7,662.78 and 1,821.56

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Solution

The fourth proportional to 5,108.13, 7,662.78 and 1,821.56 is: 2,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.13 : 7,662.78 = 1,821.56 : x
  2. Step 2: Convert to fraction form
    5,108.13/7,662.78 = 1,821.56/x
  3. Step 3: Cross multiply
    5,108.13x = 7,662.78 × 1,821.56
  4. Step 4: Simplify right side
    5,108.13x = 13,958,175.22
  5. Step 5: Solve for x
    x = 13,958,175.22/5,108.13
  6. Step 6: Final answer
    x = 2,732.54

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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.