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Finding the Fourth Proportional to 6,577.38, 9,076.85 and 3,593.24

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Solution

The fourth proportional to 6,577.38, 9,076.85 and 3,593.24 is: 4,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.38 : 9,076.85 = 3,593.24 : x
  2. Step 2: Convert to fraction form
    6,577.38/9,076.85 = 3,593.24/x
  3. Step 3: Cross multiply
    6,577.38x = 9,076.85 × 3,593.24
  4. Step 4: Simplify right side
    6,577.38x = 32,615,300.49
  5. Step 5: Solve for x
    x = 32,615,300.49/6,577.38
  6. Step 6: Final answer
    x = 4,958.71

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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.