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Finding the Fourth Proportional to 4,902.10, 6,768.42 and 3,016.21

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Solution

The fourth proportional to 4,902.10, 6,768.42 and 3,016.21 is: 4,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.10 : 6,768.42 = 3,016.21 : x
  2. Step 2: Convert to fraction form
    4,902.10/6,768.42 = 3,016.21/x
  3. Step 3: Cross multiply
    4,902.10x = 6,768.42 × 3,016.21
  4. Step 4: Simplify right side
    4,902.10x = 20,414,976.09
  5. Step 5: Solve for x
    x = 20,414,976.09/4,902.10
  6. Step 6: Final answer
    x = 4,164.54

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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.