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Finding the Fourth Proportional to 4,625.97, 6,380.85 and 3,208.98

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Solution

The fourth proportional to 4,625.97, 6,380.85 and 3,208.98 is: 4,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.97 : 6,380.85 = 3,208.98 : x
  2. Step 2: Convert to fraction form
    4,625.97/6,380.85 = 3,208.98/x
  3. Step 3: Cross multiply
    4,625.97x = 6,380.85 × 3,208.98
  4. Step 4: Simplify right side
    4,625.97x = 20,476,020.03
  5. Step 5: Solve for x
    x = 20,476,020.03/4,625.97
  6. Step 6: Final answer
    x = 4,426.32

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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.