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Finding the Fourth Proportional to 4,902.12, 6,764.94 and 2,806.26

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Solution

The fourth proportional to 4,902.12, 6,764.94 and 2,806.26 is: 3,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.12 : 6,764.94 = 2,806.26 : x
  2. Step 2: Convert to fraction form
    4,902.12/6,764.94 = 2,806.26/x
  3. Step 3: Cross multiply
    4,902.12x = 6,764.94 × 2,806.26
  4. Step 4: Simplify right side
    4,902.12x = 18,984,180.52
  5. Step 5: Solve for x
    x = 18,984,180.52/4,902.12
  6. Step 6: Final answer
    x = 3,872.65

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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.