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Finding the Fourth Proportional to 4,216.20, 6,324.27 and 1,096.20

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Solution

The fourth proportional to 4,216.20, 6,324.27 and 1,096.20 is: 1,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.20 : 6,324.27 = 1,096.20 : x
  2. Step 2: Convert to fraction form
    4,216.20/6,324.27 = 1,096.20/x
  3. Step 3: Cross multiply
    4,216.20x = 6,324.27 × 1,096.20
  4. Step 4: Simplify right side
    4,216.20x = 6,932,664.77
  5. Step 5: Solve for x
    x = 6,932,664.77/4,216.20
  6. Step 6: Final answer
    x = 1,644.29

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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.