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Finding the Fourth Proportional to 5,930.26, 8,182.92 and 3,411.41

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Solution

The fourth proportional to 5,930.26, 8,182.92 and 3,411.41 is: 4,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.26 : 8,182.92 = 3,411.41 : x
  2. Step 2: Convert to fraction form
    5,930.26/8,182.92 = 3,411.41/x
  3. Step 3: Cross multiply
    5,930.26x = 8,182.92 × 3,411.41
  4. Step 4: Simplify right side
    5,930.26x = 27,915,295.12
  5. Step 5: Solve for x
    x = 27,915,295.12/5,930.26
  6. Step 6: Final answer
    x = 4,707.26

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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.