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Finding the Fourth Proportional to 3,480.44, 4,792.36 and 3,201.80

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Solution

The fourth proportional to 3,480.44, 4,792.36 and 3,201.80 is: 4,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.44 : 4,792.36 = 3,201.80 : x
  2. Step 2: Convert to fraction form
    3,480.44/4,792.36 = 3,201.80/x
  3. Step 3: Cross multiply
    3,480.44x = 4,792.36 × 3,201.80
  4. Step 4: Simplify right side
    3,480.44x = 15,344,178.25
  5. Step 5: Solve for x
    x = 15,344,178.25/3,480.44
  6. Step 6: Final answer
    x = 4,408.69

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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.