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Finding the Fourth Proportional to 5,109.18, 7,667.02 and 4,791.66

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Solution

The fourth proportional to 5,109.18, 7,667.02 and 4,791.66 is: 7,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.18 : 7,667.02 = 4,791.66 : x
  2. Step 2: Convert to fraction form
    5,109.18/7,667.02 = 4,791.66/x
  3. Step 3: Cross multiply
    5,109.18x = 7,667.02 × 4,791.66
  4. Step 4: Simplify right side
    5,109.18x = 36,737,753.05
  5. Step 5: Solve for x
    x = 36,737,753.05/5,109.18
  6. Step 6: Final answer
    x = 7,190.54

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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.