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Finding the Fourth Proportional to 5,193.68, 7,165.59 and 3,069.29

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Solution

The fourth proportional to 5,193.68, 7,165.59 and 3,069.29 is: 4,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.68 : 7,165.59 = 3,069.29 : x
  2. Step 2: Convert to fraction form
    5,193.68/7,165.59 = 3,069.29/x
  3. Step 3: Cross multiply
    5,193.68x = 7,165.59 × 3,069.29
  4. Step 4: Simplify right side
    5,193.68x = 21,993,273.73
  5. Step 5: Solve for x
    x = 21,993,273.73/5,193.68
  6. Step 6: Final answer
    x = 4,234.62

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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.