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Finding the Fourth Proportional to 6,032.24, 8,324.34 and 3,379.82

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Solution

The fourth proportional to 6,032.24, 8,324.34 and 3,379.82 is: 4,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.24 : 8,324.34 = 3,379.82 : x
  2. Step 2: Convert to fraction form
    6,032.24/8,324.34 = 3,379.82/x
  3. Step 3: Cross multiply
    6,032.24x = 8,324.34 × 3,379.82
  4. Step 4: Simplify right side
    6,032.24x = 28,134,770.82
  5. Step 5: Solve for x
    x = 28,134,770.82/6,032.24
  6. Step 6: Final answer
    x = 4,664.07

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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.