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Finding the Fourth Proportional to 5,444.25, 8,165.92 and 1,745.49

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Solution

The fourth proportional to 5,444.25, 8,165.92 and 1,745.49 is: 2,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.25 : 8,165.92 = 1,745.49 : x
  2. Step 2: Convert to fraction form
    5,444.25/8,165.92 = 1,745.49/x
  3. Step 3: Cross multiply
    5,444.25x = 8,165.92 × 1,745.49
  4. Step 4: Simplify right side
    5,444.25x = 14,253,531.70
  5. Step 5: Solve for x
    x = 14,253,531.70/5,444.25
  6. Step 6: Final answer
    x = 2,618.09

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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.