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Finding the Fourth Proportional to 5,219.57, 7,829.36 and 1,759.25

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Solution

The fourth proportional to 5,219.57, 7,829.36 and 1,759.25 is: 2,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.57 : 7,829.36 = 1,759.25 : x
  2. Step 2: Convert to fraction form
    5,219.57/7,829.36 = 1,759.25/x
  3. Step 3: Cross multiply
    5,219.57x = 7,829.36 × 1,759.25
  4. Step 4: Simplify right side
    5,219.57x = 13,773,753.64
  5. Step 5: Solve for x
    x = 13,773,753.64/5,219.57
  6. Step 6: Final answer
    x = 2,638.87

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