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Finding the Fourth Proportional to 4,216.27, 6,324.21 and 1,443.19

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Solution

The fourth proportional to 4,216.27, 6,324.21 and 1,443.19 is: 2,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.27 : 6,324.21 = 1,443.19 : x
  2. Step 2: Convert to fraction form
    4,216.27/6,324.21 = 1,443.19/x
  3. Step 3: Cross multiply
    4,216.27x = 6,324.21 × 1,443.19
  4. Step 4: Simplify right side
    4,216.27x = 9,127,005.01
  5. Step 5: Solve for x
    x = 9,127,005.01/4,216.27
  6. Step 6: Final answer
    x = 2,164.71

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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.