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Finding the Fourth Proportional to 4,155.36, 5,728.80 and 3,019.92

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Solution

The fourth proportional to 4,155.36, 5,728.80 and 3,019.92 is: 4,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.36 : 5,728.80 = 3,019.92 : x
  2. Step 2: Convert to fraction form
    4,155.36/5,728.80 = 3,019.92/x
  3. Step 3: Cross multiply
    4,155.36x = 5,728.80 × 3,019.92
  4. Step 4: Simplify right side
    4,155.36x = 17,300,517.70
  5. Step 5: Solve for x
    x = 17,300,517.70/4,155.36
  6. Step 6: Final answer
    x = 4,163.42

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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.