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Finding the Fourth Proportional to 5,305.89, 7,960.08 and 5,217.73

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Solution

The fourth proportional to 5,305.89, 7,960.08 and 5,217.73 is: 7,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.89 : 7,960.08 = 5,217.73 : x
  2. Step 2: Convert to fraction form
    5,305.89/7,960.08 = 5,217.73/x
  3. Step 3: Cross multiply
    5,305.89x = 7,960.08 × 5,217.73
  4. Step 4: Simplify right side
    5,305.89x = 41,533,548.22
  5. Step 5: Solve for x
    x = 41,533,548.22/5,305.89
  6. Step 6: Final answer
    x = 7,827.82

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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.