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Finding the Fourth Proportional to 5,694.25, 7,857.52 and 3,176.16

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Solution

The fourth proportional to 5,694.25, 7,857.52 and 3,176.16 is: 4,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.25 : 7,857.52 = 3,176.16 : x
  2. Step 2: Convert to fraction form
    5,694.25/7,857.52 = 3,176.16/x
  3. Step 3: Cross multiply
    5,694.25x = 7,857.52 × 3,176.16
  4. Step 4: Simplify right side
    5,694.25x = 24,956,732.78
  5. Step 5: Solve for x
    x = 24,956,732.78/5,694.25
  6. Step 6: Final answer
    x = 4,382.80

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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.