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Finding the Fourth Proportional to 3,482.97, 5,232.99 and 2,234.09

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Solution

The fourth proportional to 3,482.97, 5,232.99 and 2,234.09 is: 3,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.97 : 5,232.99 = 2,234.09 : x
  2. Step 2: Convert to fraction form
    3,482.97/5,232.99 = 2,234.09/x
  3. Step 3: Cross multiply
    3,482.97x = 5,232.99 × 2,234.09
  4. Step 4: Simplify right side
    3,482.97x = 11,690,992.09
  5. Step 5: Solve for x
    x = 11,690,992.09/3,482.97
  6. Step 6: Final answer
    x = 3,356.62

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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.