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Finding the Fourth Proportional to 3,829.64, 5,740.87 and 1,491.15

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Solution

The fourth proportional to 3,829.64, 5,740.87 and 1,491.15 is: 2,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.64 : 5,740.87 = 1,491.15 : x
  2. Step 2: Convert to fraction form
    3,829.64/5,740.87 = 1,491.15/x
  3. Step 3: Cross multiply
    3,829.64x = 5,740.87 × 1,491.15
  4. Step 4: Simplify right side
    3,829.64x = 8,560,487.68
  5. Step 5: Solve for x
    x = 8,560,487.68/3,829.64
  6. Step 6: Final answer
    x = 2,235.32

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