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Finding the Fourth Proportional to 3,782.98, 5,671.72 and 1,780.54

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Solution

The fourth proportional to 3,782.98, 5,671.72 and 1,780.54 is: 2,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.98 : 5,671.72 = 1,780.54 : x
  2. Step 2: Convert to fraction form
    3,782.98/5,671.72 = 1,780.54/x
  3. Step 3: Cross multiply
    3,782.98x = 5,671.72 × 1,780.54
  4. Step 4: Simplify right side
    3,782.98x = 10,098,724.33
  5. Step 5: Solve for x
    x = 10,098,724.33/3,782.98
  6. Step 6: Final answer
    x = 2,669.52

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