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Finding the Fourth Proportional to 4,188.44, 6,279.06 and 1,593.24

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Solution

The fourth proportional to 4,188.44, 6,279.06 and 1,593.24 is: 2,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.44 : 6,279.06 = 1,593.24 : x
  2. Step 2: Convert to fraction form
    4,188.44/6,279.06 = 1,593.24/x
  3. Step 3: Cross multiply
    4,188.44x = 6,279.06 × 1,593.24
  4. Step 4: Simplify right side
    4,188.44x = 10,004,049.55
  5. Step 5: Solve for x
    x = 10,004,049.55/4,188.44
  6. Step 6: Final answer
    x = 2,388.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.