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Finding the Fourth Proportional to 4,906.25, 6,770.45 and 2,809.97

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Solution

The fourth proportional to 4,906.25, 6,770.45 and 2,809.97 is: 3,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.25 : 6,770.45 = 2,809.97 : x
  2. Step 2: Convert to fraction form
    4,906.25/6,770.45 = 2,809.97/x
  3. Step 3: Cross multiply
    4,906.25x = 6,770.45 × 2,809.97
  4. Step 4: Simplify right side
    4,906.25x = 19,024,713.48
  5. Step 5: Solve for x
    x = 19,024,713.48/4,906.25
  6. Step 6: Final answer
    x = 3,877.65

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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.