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Finding the Fourth Proportional to 3,830.25, 5,744.26 and 1,749.15

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Solution

The fourth proportional to 3,830.25, 5,744.26 and 1,749.15 is: 2,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.25 : 5,744.26 = 1,749.15 : x
  2. Step 2: Convert to fraction form
    3,830.25/5,744.26 = 1,749.15/x
  3. Step 3: Cross multiply
    3,830.25x = 5,744.26 × 1,749.15
  4. Step 4: Simplify right side
    3,830.25x = 10,047,539.28
  5. Step 5: Solve for x
    x = 10,047,539.28/3,830.25
  6. Step 6: Final answer
    x = 2,623.21

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