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Finding the Fourth Proportional to 3,480.44, 5,219.25 and 1,289.33

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Solution

The fourth proportional to 3,480.44, 5,219.25 and 1,289.33 is: 1,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.44 : 5,219.25 = 1,289.33 : x
  2. Step 2: Convert to fraction form
    3,480.44/5,219.25 = 1,289.33/x
  3. Step 3: Cross multiply
    3,480.44x = 5,219.25 × 1,289.33
  4. Step 4: Simplify right side
    3,480.44x = 6,729,360.85
  5. Step 5: Solve for x
    x = 6,729,360.85/3,480.44
  6. Step 6: Final answer
    x = 1,933.48

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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.