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Finding the Fourth Proportional to 5,175.27, 7,142.04 and 2,817.54

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Solution

The fourth proportional to 5,175.27, 7,142.04 and 2,817.54 is: 3,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.27 : 7,142.04 = 2,817.54 : x
  2. Step 2: Convert to fraction form
    5,175.27/7,142.04 = 2,817.54/x
  3. Step 3: Cross multiply
    5,175.27x = 7,142.04 × 2,817.54
  4. Step 4: Simplify right side
    5,175.27x = 20,122,983.38
  5. Step 5: Solve for x
    x = 20,122,983.38/5,175.27
  6. Step 6: Final answer
    x = 3,888.30

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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.