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Finding the Fourth Proportional to 4,942.92, 6,822 and 3,176.40

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Solution

The fourth proportional to 4,942.92, 6,822 and 3,176.40 is: 4,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.92 : 6,822 = 3,176.40 : x
  2. Step 2: Convert to fraction form
    4,942.92/6,822 = 3,176.40/x
  3. Step 3: Cross multiply
    4,942.92x = 6,822 × 3,176.40
  4. Step 4: Simplify right side
    4,942.92x = 21,669,400.80
  5. Step 5: Solve for x
    x = 21,669,400.80/4,942.92
  6. Step 6: Final answer
    x = 4,383.93

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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.