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Finding the Fourth Proportional to 5,157.22, 7,735.76 and 1,261.66

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Solution

The fourth proportional to 5,157.22, 7,735.76 and 1,261.66 is: 1,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.22 : 7,735.76 = 1,261.66 : x
  2. Step 2: Convert to fraction form
    5,157.22/7,735.76 = 1,261.66/x
  3. Step 3: Cross multiply
    5,157.22x = 7,735.76 × 1,261.66
  4. Step 4: Simplify right side
    5,157.22x = 9,759,898.96
  5. Step 5: Solve for x
    x = 9,759,898.96/5,157.22
  6. Step 6: Final answer
    x = 1,892.47

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