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Finding the Fourth Proportional to 6,092.43, 8,407.38 and 3,440.09

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Solution

The fourth proportional to 6,092.43, 8,407.38 and 3,440.09 is: 4,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.43 : 8,407.38 = 3,440.09 : x
  2. Step 2: Convert to fraction form
    6,092.43/8,407.38 = 3,440.09/x
  3. Step 3: Cross multiply
    6,092.43x = 8,407.38 × 3,440.09
  4. Step 4: Simplify right side
    6,092.43x = 28,922,101.83
  5. Step 5: Solve for x
    x = 28,922,101.83/6,092.43
  6. Step 6: Final answer
    x = 4,747.22

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Why These Related Problems?

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