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Finding the Fourth Proportional to 3,830.58, 5,741.07 and 1,636.74

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Solution

The fourth proportional to 3,830.58, 5,741.07 and 1,636.74 is: 2,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.58 : 5,741.07 = 1,636.74 : x
  2. Step 2: Convert to fraction form
    3,830.58/5,741.07 = 1,636.74/x
  3. Step 3: Cross multiply
    3,830.58x = 5,741.07 × 1,636.74
  4. Step 4: Simplify right side
    3,830.58x = 9,396,638.91
  5. Step 5: Solve for x
    x = 9,396,638.91/3,830.58
  6. Step 6: Final answer
    x = 2,453.06

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