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Finding the Fourth Proportional to 5,175.70, 7,142.10 and 2,817.82

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Solution

The fourth proportional to 5,175.70, 7,142.10 and 2,817.82 is: 3,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.70 : 7,142.10 = 2,817.82 : x
  2. Step 2: Convert to fraction form
    5,175.70/7,142.10 = 2,817.82/x
  3. Step 3: Cross multiply
    5,175.70x = 7,142.10 × 2,817.82
  4. Step 4: Simplify right side
    5,175.70x = 20,125,152.22
  5. Step 5: Solve for x
    x = 20,125,152.22/5,175.70
  6. Step 6: Final answer
    x = 3,888.39

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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.