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Finding the Fourth Proportional to 5,226.32, 7,840.24 and 1,764.56

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Solution

The fourth proportional to 5,226.32, 7,840.24 and 1,764.56 is: 2,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.32 : 7,840.24 = 1,764.56 : x
  2. Step 2: Convert to fraction form
    5,226.32/7,840.24 = 1,764.56/x
  3. Step 3: Cross multiply
    5,226.32x = 7,840.24 × 1,764.56
  4. Step 4: Simplify right side
    5,226.32x = 13,834,573.89
  5. Step 5: Solve for x
    x = 13,834,573.89/5,226.32
  6. Step 6: Final answer
    x = 2,647.10

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