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Finding the Fourth Proportional to 5,157.88, 7,735.83 and 1,459.22

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Solution

The fourth proportional to 5,157.88, 7,735.83 and 1,459.22 is: 2,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.88 : 7,735.83 = 1,459.22 : x
  2. Step 2: Convert to fraction form
    5,157.88/7,735.83 = 1,459.22/x
  3. Step 3: Cross multiply
    5,157.88x = 7,735.83 × 1,459.22
  4. Step 4: Simplify right side
    5,157.88x = 11,288,237.81
  5. Step 5: Solve for x
    x = 11,288,237.81/5,157.88
  6. Step 6: Final answer
    x = 2,188.54

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