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Finding the Fourth Proportional to 3,830.76, 5,745.66 and 1,364.92

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Solution

The fourth proportional to 3,830.76, 5,745.66 and 1,364.92 is: 2,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.76 : 5,745.66 = 1,364.92 : x
  2. Step 2: Convert to fraction form
    3,830.76/5,745.66 = 1,364.92/x
  3. Step 3: Cross multiply
    3,830.76x = 5,745.66 × 1,364.92
  4. Step 4: Simplify right side
    3,830.76x = 7,842,366.25
  5. Step 5: Solve for x
    x = 7,842,366.25/3,830.76
  6. Step 6: Final answer
    x = 2,047.21

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