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Finding the Fourth Proportional to 5,921.73, 8,171.84 and 3,902.67

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Solution

The fourth proportional to 5,921.73, 8,171.84 and 3,902.67 is: 5,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.73 : 8,171.84 = 3,902.67 : x
  2. Step 2: Convert to fraction form
    5,921.73/8,171.84 = 3,902.67/x
  3. Step 3: Cross multiply
    5,921.73x = 8,171.84 × 3,902.67
  4. Step 4: Simplify right side
    5,921.73x = 31,891,975.30
  5. Step 5: Solve for x
    x = 31,891,975.30/5,921.73
  6. Step 6: Final answer
    x = 5,385.58

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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.