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Finding the Fourth Proportional to 5,694.02, 7,856.96 and 3,175.83

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Solution

The fourth proportional to 5,694.02, 7,856.96 and 3,175.83 is: 4,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.02 : 7,856.96 = 3,175.83 : x
  2. Step 2: Convert to fraction form
    5,694.02/7,856.96 = 3,175.83/x
  3. Step 3: Cross multiply
    5,694.02x = 7,856.96 × 3,175.83
  4. Step 4: Simplify right side
    5,694.02x = 24,952,353.40
  5. Step 5: Solve for x
    x = 24,952,353.40/5,694.02
  6. Step 6: Final answer
    x = 4,382.21

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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.