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Finding the Fourth Proportional to 3,664.94, 5,494.71 and 1,584.86

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Solution

The fourth proportional to 3,664.94, 5,494.71 and 1,584.86 is: 2,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.94 : 5,494.71 = 1,584.86 : x
  2. Step 2: Convert to fraction form
    3,664.94/5,494.71 = 1,584.86/x
  3. Step 3: Cross multiply
    3,664.94x = 5,494.71 × 1,584.86
  4. Step 4: Simplify right side
    3,664.94x = 8,708,346.09
  5. Step 5: Solve for x
    x = 8,708,346.09/3,664.94
  6. Step 6: Final answer
    x = 2,376.12

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