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Finding the Fourth Proportional to 5,226.67, 7,836.90 and 3,472.61

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Solution

The fourth proportional to 5,226.67, 7,836.90 and 3,472.61 is: 5,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.67 : 7,836.90 = 3,472.61 : x
  2. Step 2: Convert to fraction form
    5,226.67/7,836.90 = 3,472.61/x
  3. Step 3: Cross multiply
    5,226.67x = 7,836.90 × 3,472.61
  4. Step 4: Simplify right side
    5,226.67x = 27,214,497.31
  5. Step 5: Solve for x
    x = 27,214,497.31/5,226.67
  6. Step 6: Final answer
    x = 5,206.85

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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.