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Finding the Fourth Proportional to 3,201.43, 4,794.82 and 3,092.08

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Solution

The fourth proportional to 3,201.43, 4,794.82 and 3,092.08 is: 4,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.43 : 4,794.82 = 3,092.08 : x
  2. Step 2: Convert to fraction form
    3,201.43/4,794.82 = 3,092.08/x
  3. Step 3: Cross multiply
    3,201.43x = 4,794.82 × 3,092.08
  4. Step 4: Simplify right side
    3,201.43x = 14,825,967.03
  5. Step 5: Solve for x
    x = 14,825,967.03/3,201.43
  6. Step 6: Final answer
    x = 4,631.05

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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.