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Finding the Fourth Proportional to 4,441.92, 6,136.14 and 4,042.92

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Solution

The fourth proportional to 4,441.92, 6,136.14 and 4,042.92 is: 5,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.92 : 6,136.14 = 4,042.92 : x
  2. Step 2: Convert to fraction form
    4,441.92/6,136.14 = 4,042.92/x
  3. Step 3: Cross multiply
    4,441.92x = 6,136.14 × 4,042.92
  4. Step 4: Simplify right side
    4,441.92x = 24,807,923.13
  5. Step 5: Solve for x
    x = 24,807,923.13/4,441.92
  6. Step 6: Final answer
    x = 5,584.95

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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.