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Finding the Fourth Proportional to 5,203.64, 7,181.12 and 2,965.38

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Solution

The fourth proportional to 5,203.64, 7,181.12 and 2,965.38 is: 4,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.64 : 7,181.12 = 2,965.38 : x
  2. Step 2: Convert to fraction form
    5,203.64/7,181.12 = 2,965.38/x
  3. Step 3: Cross multiply
    5,203.64x = 7,181.12 × 2,965.38
  4. Step 4: Simplify right side
    5,203.64x = 21,294,749.63
  5. Step 5: Solve for x
    x = 21,294,749.63/5,203.64
  6. Step 6: Final answer
    x = 4,092.28

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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.