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Finding the Fourth Proportional to 5,306.14, 7,960.46 and 5,217.99

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Solution

The fourth proportional to 5,306.14, 7,960.46 and 5,217.99 is: 7,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.14 : 7,960.46 = 5,217.99 : x
  2. Step 2: Convert to fraction form
    5,306.14/7,960.46 = 5,217.99/x
  3. Step 3: Cross multiply
    5,306.14x = 7,960.46 × 5,217.99
  4. Step 4: Simplify right side
    5,306.14x = 41,537,600.68
  5. Step 5: Solve for x
    x = 41,537,600.68/5,306.14
  6. Step 6: Final answer
    x = 7,828.21

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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.