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Finding the Fourth Proportional to 4,699.25, 6,481.84 and 3,022.78

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Solution

The fourth proportional to 4,699.25, 6,481.84 and 3,022.78 is: 4,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.25 : 6,481.84 = 3,022.78 : x
  2. Step 2: Convert to fraction form
    4,699.25/6,481.84 = 3,022.78/x
  3. Step 3: Cross multiply
    4,699.25x = 6,481.84 × 3,022.78
  4. Step 4: Simplify right side
    4,699.25x = 19,593,176.32
  5. Step 5: Solve for x
    x = 19,593,176.32/4,699.25
  6. Step 6: Final answer
    x = 4,169.43

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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.