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Finding the Fourth Proportional to 4,489, 6,194.94 and 2,499.64

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Solution

The fourth proportional to 4,489, 6,194.94 and 2,499.64 is: 3,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489 : 6,194.94 = 2,499.64 : x
  2. Step 2: Convert to fraction form
    4,489/6,194.94 = 2,499.64/x
  3. Step 3: Cross multiply
    4,489x = 6,194.94 × 2,499.64
  4. Step 4: Simplify right side
    4,489x = 15,485,119.82
  5. Step 5: Solve for x
    x = 15,485,119.82/4,489
  6. Step 6: Final answer
    x = 3,449.57

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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.