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Finding the Fourth Proportional to 5,694.24, 7,857.88 and 3,176.43

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Solution

The fourth proportional to 5,694.24, 7,857.88 and 3,176.43 is: 4,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.24 : 7,857.88 = 3,176.43 : x
  2. Step 2: Convert to fraction form
    5,694.24/7,857.88 = 3,176.43/x
  3. Step 3: Cross multiply
    5,694.24x = 7,857.88 × 3,176.43
  4. Step 4: Simplify right side
    5,694.24x = 24,960,005.77
  5. Step 5: Solve for x
    x = 24,960,005.77/5,694.24
  6. Step 6: Final answer
    x = 4,383.38

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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.