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Finding the Fourth Proportional to 3,202.90, 4,796.96 and 3,092.08

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Solution

The fourth proportional to 3,202.90, 4,796.96 and 3,092.08 is: 4,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.90 : 4,796.96 = 3,092.08 : x
  2. Step 2: Convert to fraction form
    3,202.90/4,796.96 = 3,092.08/x
  3. Step 3: Cross multiply
    3,202.90x = 4,796.96 × 3,092.08
  4. Step 4: Simplify right side
    3,202.90x = 14,832,584.08
  5. Step 5: Solve for x
    x = 14,832,584.08/3,202.90
  6. Step 6: Final answer
    x = 4,630.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.