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Finding the Fourth Proportional to 3,251.54, 4,876.44 and 911.41

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Solution

The fourth proportional to 3,251.54, 4,876.44 and 911.41 is: 1,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.54 : 4,876.44 = 911.41 : x
  2. Step 2: Convert to fraction form
    3,251.54/4,876.44 = 911.41/x
  3. Step 3: Cross multiply
    3,251.54x = 4,876.44 × 911.41
  4. Step 4: Simplify right side
    3,251.54x = 4,444,436.18
  5. Step 5: Solve for x
    x = 4,444,436.18/3,251.54
  6. Step 6: Final answer
    x = 1,366.87

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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.