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Finding the Fourth Proportional to 4,157.64, 5,739.39 and 2,586.78

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Solution

The fourth proportional to 4,157.64, 5,739.39 and 2,586.78 is: 3,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.64 : 5,739.39 = 2,586.78 : x
  2. Step 2: Convert to fraction form
    4,157.64/5,739.39 = 2,586.78/x
  3. Step 3: Cross multiply
    4,157.64x = 5,739.39 × 2,586.78
  4. Step 4: Simplify right side
    4,157.64x = 14,846,539.26
  5. Step 5: Solve for x
    x = 14,846,539.26/4,157.64
  6. Step 6: Final answer
    x = 3,570.91

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