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Finding the Fourth Proportional to 5,203.62, 7,181.22 and 2,965.38

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Solution

The fourth proportional to 5,203.62, 7,181.22 and 2,965.38 is: 4,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.62 : 7,181.22 = 2,965.38 : x
  2. Step 2: Convert to fraction form
    5,203.62/7,181.22 = 2,965.38/x
  3. Step 3: Cross multiply
    5,203.62x = 7,181.22 × 2,965.38
  4. Step 4: Simplify right side
    5,203.62x = 21,295,046.16
  5. Step 5: Solve for x
    x = 21,295,046.16/5,203.62
  6. Step 6: Final answer
    x = 4,092.35

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1.5x scale

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.