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Finding the Fourth Proportional to 3,388.67, 5,078.78 and 1,539.26

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Solution

The fourth proportional to 3,388.67, 5,078.78 and 1,539.26 is: 2,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.67 : 5,078.78 = 1,539.26 : x
  2. Step 2: Convert to fraction form
    3,388.67/5,078.78 = 1,539.26/x
  3. Step 3: Cross multiply
    3,388.67x = 5,078.78 × 1,539.26
  4. Step 4: Simplify right side
    3,388.67x = 7,817,555.21
  5. Step 5: Solve for x
    x = 7,817,555.21/3,388.67
  6. Step 6: Final answer
    x = 2,306.97

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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.