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Finding the Fourth Proportional to 4,489.34, 6,194.56 and 2,499.85

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Solution

The fourth proportional to 4,489.34, 6,194.56 and 2,499.85 is: 3,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.34 : 6,194.56 = 2,499.85 : x
  2. Step 2: Convert to fraction form
    4,489.34/6,194.56 = 2,499.85/x
  3. Step 3: Cross multiply
    4,489.34x = 6,194.56 × 2,499.85
  4. Step 4: Simplify right side
    4,489.34x = 15,485,470.82
  5. Step 5: Solve for x
    x = 15,485,470.82/4,489.34
  6. Step 6: Final answer
    x = 3,449.39

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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.