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Finding the Fourth Proportional to 5,351.54, 7,382.63 and 3,463.73

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Solution

The fourth proportional to 5,351.54, 7,382.63 and 3,463.73 is: 4,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.54 : 7,382.63 = 3,463.73 : x
  2. Step 2: Convert to fraction form
    5,351.54/7,382.63 = 3,463.73/x
  3. Step 3: Cross multiply
    5,351.54x = 7,382.63 × 3,463.73
  4. Step 4: Simplify right side
    5,351.54x = 25,571,382.78
  5. Step 5: Solve for x
    x = 25,571,382.78/5,351.54
  6. Step 6: Final answer
    x = 4,778.33

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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.