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Finding the Fourth Proportional to 6,032.26, 8,324.49 and 3,379.66

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Solution

The fourth proportional to 6,032.26, 8,324.49 and 3,379.66 is: 4,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.26 : 8,324.49 = 3,379.66 : x
  2. Step 2: Convert to fraction form
    6,032.26/8,324.49 = 3,379.66/x
  3. Step 3: Cross multiply
    6,032.26x = 8,324.49 × 3,379.66
  4. Step 4: Simplify right side
    6,032.26x = 28,133,945.87
  5. Step 5: Solve for x
    x = 28,133,945.87/6,032.26
  6. Step 6: Final answer
    x = 4,663.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.