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Finding the Fourth Proportional to 5,472.23, 8,196 and 3,836.07

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Solution

The fourth proportional to 5,472.23, 8,196 and 3,836.07 is: 5,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.23 : 8,196 = 3,836.07 : x
  2. Step 2: Convert to fraction form
    5,472.23/8,196 = 3,836.07/x
  3. Step 3: Cross multiply
    5,472.23x = 8,196 × 3,836.07
  4. Step 4: Simplify right side
    5,472.23x = 31,440,429.72
  5. Step 5: Solve for x
    x = 31,440,429.72/5,472.23
  6. Step 6: Final answer
    x = 5,745.46

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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.