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Finding the Fourth Proportional to 5,204.91, 7,182.93 and 2,847.20

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Solution

The fourth proportional to 5,204.91, 7,182.93 and 2,847.20 is: 3,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.91 : 7,182.93 = 2,847.20 : x
  2. Step 2: Convert to fraction form
    5,204.91/7,182.93 = 2,847.20/x
  3. Step 3: Cross multiply
    5,204.91x = 7,182.93 × 2,847.20
  4. Step 4: Simplify right side
    5,204.91x = 20,451,202.38
  5. Step 5: Solve for x
    x = 20,451,202.38/5,204.91
  6. Step 6: Final answer
    x = 3,929.21

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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.