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Finding the Fourth Proportional to 3,764.60, 5,645.14 and 2,009.12

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Solution

The fourth proportional to 3,764.60, 5,645.14 and 2,009.12 is: 3,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.60 : 5,645.14 = 2,009.12 : x
  2. Step 2: Convert to fraction form
    3,764.60/5,645.14 = 2,009.12/x
  3. Step 3: Cross multiply
    3,764.60x = 5,645.14 × 2,009.12
  4. Step 4: Simplify right side
    3,764.60x = 11,341,772.77
  5. Step 5: Solve for x
    x = 11,341,772.77/3,764.60
  6. Step 6: Final answer
    x = 3,012.75

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