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Finding the Fourth Proportional to 3,251.91, 4,877.34 and 911.67

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Solution

The fourth proportional to 3,251.91, 4,877.34 and 911.67 is: 1,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.91 : 4,877.34 = 911.67 : x
  2. Step 2: Convert to fraction form
    3,251.91/4,877.34 = 911.67/x
  3. Step 3: Cross multiply
    3,251.91x = 4,877.34 × 911.67
  4. Step 4: Simplify right side
    3,251.91x = 4,446,524.56
  5. Step 5: Solve for x
    x = 4,446,524.56/3,251.91
  6. Step 6: Final answer
    x = 1,367.36

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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.