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Finding the Fourth Proportional to 5,493.93, 8,224.74 and 3,407.25

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Solution

The fourth proportional to 5,493.93, 8,224.74 and 3,407.25 is: 5,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.93 : 8,224.74 = 3,407.25 : x
  2. Step 2: Convert to fraction form
    5,493.93/8,224.74 = 3,407.25/x
  3. Step 3: Cross multiply
    5,493.93x = 8,224.74 × 3,407.25
  4. Step 4: Simplify right side
    5,493.93x = 28,023,745.37
  5. Step 5: Solve for x
    x = 28,023,745.37/5,493.93
  6. Step 6: Final answer
    x = 5,100.86

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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.