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Finding the Fourth Proportional to 5,694.91, 7,857.14 and 3,176.62

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Solution

The fourth proportional to 5,694.91, 7,857.14 and 3,176.62 is: 4,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.91 : 7,857.14 = 3,176.62 : x
  2. Step 2: Convert to fraction form
    5,694.91/7,857.14 = 3,176.62/x
  3. Step 3: Cross multiply
    5,694.91x = 7,857.14 × 3,176.62
  4. Step 4: Simplify right side
    5,694.91x = 24,959,125.94
  5. Step 5: Solve for x
    x = 24,959,125.94/5,694.91
  6. Step 6: Final answer
    x = 4,382.70

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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.