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Finding the Fourth Proportional to 2,628.64, 3,941.47 and 2,405.22

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Solution

The fourth proportional to 2,628.64, 3,941.47 and 2,405.22 is: 3,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.64 : 3,941.47 = 2,405.22 : x
  2. Step 2: Convert to fraction form
    2,628.64/3,941.47 = 2,405.22/x
  3. Step 3: Cross multiply
    2,628.64x = 3,941.47 × 2,405.22
  4. Step 4: Simplify right side
    2,628.64x = 9,480,102.47
  5. Step 5: Solve for x
    x = 9,480,102.47/2,628.64
  6. Step 6: Final answer
    x = 3,606.47

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