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Finding the Fourth Proportional to 4,110.80, 6,172.80 and 3,807.60

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Solution

The fourth proportional to 4,110.80, 6,172.80 and 3,807.60 is: 5,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.80 : 6,172.80 = 3,807.60 : x
  2. Step 2: Convert to fraction form
    4,110.80/6,172.80 = 3,807.60/x
  3. Step 3: Cross multiply
    4,110.80x = 6,172.80 × 3,807.60
  4. Step 4: Simplify right side
    4,110.80x = 23,503,553.28
  5. Step 5: Solve for x
    x = 23,503,553.28/4,110.80
  6. Step 6: Final answer
    x = 5,717.51

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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.