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Finding the Fourth Proportional to 6,092.97, 8,407.82 and 3,440.64

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Solution

The fourth proportional to 6,092.97, 8,407.82 and 3,440.64 is: 4,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.97 : 8,407.82 = 3,440.64 : x
  2. Step 2: Convert to fraction form
    6,092.97/8,407.82 = 3,440.64/x
  3. Step 3: Cross multiply
    6,092.97x = 8,407.82 × 3,440.64
  4. Step 4: Simplify right side
    6,092.97x = 28,928,281.80
  5. Step 5: Solve for x
    x = 28,928,281.80/6,092.97
  6. Step 6: Final answer
    x = 4,747.81

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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.