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Finding the Fourth Proportional to 5,306.82, 7,316.09 and 4,233.73

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Solution

The fourth proportional to 5,306.82, 7,316.09 and 4,233.73 is: 5,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.82 : 7,316.09 = 4,233.73 : x
  2. Step 2: Convert to fraction form
    5,306.82/7,316.09 = 4,233.73/x
  3. Step 3: Cross multiply
    5,306.82x = 7,316.09 × 4,233.73
  4. Step 4: Simplify right side
    5,306.82x = 30,974,349.72
  5. Step 5: Solve for x
    x = 30,974,349.72/5,306.82
  6. Step 6: Final answer
    x = 5,836.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.