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Finding the Fourth Proportional to 5,937.72, 8,906.49 and 2,042.16

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Solution

The fourth proportional to 5,937.72, 8,906.49 and 2,042.16 is: 3,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.72 : 8,906.49 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    5,937.72/8,906.49 = 2,042.16/x
  3. Step 3: Cross multiply
    5,937.72x = 8,906.49 × 2,042.16
  4. Step 4: Simplify right side
    5,937.72x = 18,188,477.62
  5. Step 5: Solve for x
    x = 18,188,477.62/5,937.72
  6. Step 6: Final answer
    x = 3,063.21

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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.