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Finding the Fourth Proportional to 6,244, 8,616.76 and 3,449.60

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Solution

The fourth proportional to 6,244, 8,616.76 and 3,449.60 is: 4,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244 : 8,616.76 = 3,449.60 : x
  2. Step 2: Convert to fraction form
    6,244/8,616.76 = 3,449.60/x
  3. Step 3: Cross multiply
    6,244x = 8,616.76 × 3,449.60
  4. Step 4: Simplify right side
    6,244x = 29,724,375.30
  5. Step 5: Solve for x
    x = 29,724,375.30/6,244
  6. Step 6: Final answer
    x = 4,760.47

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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.