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Finding the Fourth Proportional to 5,181.74, 7,768.25 and 2,257.84

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Solution

The fourth proportional to 5,181.74, 7,768.25 and 2,257.84 is: 3,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.74 : 7,768.25 = 2,257.84 : x
  2. Step 2: Convert to fraction form
    5,181.74/7,768.25 = 2,257.84/x
  3. Step 3: Cross multiply
    5,181.74x = 7,768.25 × 2,257.84
  4. Step 4: Simplify right side
    5,181.74x = 17,539,465.58
  5. Step 5: Solve for x
    x = 17,539,465.58/5,181.74
  6. Step 6: Final answer
    x = 3,384.86

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