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Finding the Fourth Proportional to 3,725.44, 5,584.80 and 1,415.28

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Solution

The fourth proportional to 3,725.44, 5,584.80 and 1,415.28 is: 2,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.44 : 5,584.80 = 1,415.28 : x
  2. Step 2: Convert to fraction form
    3,725.44/5,584.80 = 1,415.28/x
  3. Step 3: Cross multiply
    3,725.44x = 5,584.80 × 1,415.28
  4. Step 4: Simplify right side
    3,725.44x = 7,904,055.74
  5. Step 5: Solve for x
    x = 7,904,055.74/3,725.44
  6. Step 6: Final answer
    x = 2,121.64

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