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Finding the Fourth Proportional to 6,138.17, 8,469.96 and 3,449.01

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Solution

The fourth proportional to 6,138.17, 8,469.96 and 3,449.01 is: 4,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.17 : 8,469.96 = 3,449.01 : x
  2. Step 2: Convert to fraction form
    6,138.17/8,469.96 = 3,449.01/x
  3. Step 3: Cross multiply
    6,138.17x = 8,469.96 × 3,449.01
  4. Step 4: Simplify right side
    6,138.17x = 29,212,976.74
  5. Step 5: Solve for x
    x = 29,212,976.74/6,138.17
  6. Step 6: Final answer
    x = 4,759.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.