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Finding the Fourth Proportional to 2,967.66, 4,093.20 and 2,593.92

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Solution

The fourth proportional to 2,967.66, 4,093.20 and 2,593.92 is: 3,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.66 : 4,093.20 = 2,593.92 : x
  2. Step 2: Convert to fraction form
    2,967.66/4,093.20 = 2,593.92/x
  3. Step 3: Cross multiply
    2,967.66x = 4,093.20 × 2,593.92
  4. Step 4: Simplify right side
    2,967.66x = 10,617,433.34
  5. Step 5: Solve for x
    x = 10,617,433.34/2,967.66
  6. Step 6: Final answer
    x = 3,577.71

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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.