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Finding the Fourth Proportional to 3,774.44, 5,664.26 and 1,696.78

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Solution

The fourth proportional to 3,774.44, 5,664.26 and 1,696.78 is: 2,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.44 : 5,664.26 = 1,696.78 : x
  2. Step 2: Convert to fraction form
    3,774.44/5,664.26 = 1,696.78/x
  3. Step 3: Cross multiply
    3,774.44x = 5,664.26 × 1,696.78
  4. Step 4: Simplify right side
    3,774.44x = 9,611,014.41
  5. Step 5: Solve for x
    x = 9,611,014.41/3,774.44
  6. Step 6: Final answer
    x = 2,546.34

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