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Finding the Fourth Proportional to 5,906.28, 8,838.90 and 4,171.80

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Solution

The fourth proportional to 5,906.28, 8,838.90 and 4,171.80 is: 6,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.28 : 8,838.90 = 4,171.80 : x
  2. Step 2: Convert to fraction form
    5,906.28/8,838.90 = 4,171.80/x
  3. Step 3: Cross multiply
    5,906.28x = 8,838.90 × 4,171.80
  4. Step 4: Simplify right side
    5,906.28x = 36,874,123.02
  5. Step 5: Solve for x
    x = 36,874,123.02/5,906.28
  6. Step 6: Final answer
    x = 6,243.21

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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.