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Finding the Fourth Proportional to 5,493.21, 8,243.10 and 5,046.56

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Solution

The fourth proportional to 5,493.21, 8,243.10 and 5,046.56 is: 7,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.21 : 8,243.10 = 5,046.56 : x
  2. Step 2: Convert to fraction form
    5,493.21/8,243.10 = 5,046.56/x
  3. Step 3: Cross multiply
    5,493.21x = 8,243.10 × 5,046.56
  4. Step 4: Simplify right side
    5,493.21x = 41,599,257.52
  5. Step 5: Solve for x
    x = 41,599,257.52/5,493.21
  6. Step 6: Final answer
    x = 7,572.85

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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.