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Finding the Fourth Proportional to 3,777.16, 5,664.60 and 1,585.41

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Solution

The fourth proportional to 3,777.16, 5,664.60 and 1,585.41 is: 2,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.16 : 5,664.60 = 1,585.41 : x
  2. Step 2: Convert to fraction form
    3,777.16/5,664.60 = 1,585.41/x
  3. Step 3: Cross multiply
    3,777.16x = 5,664.60 × 1,585.41
  4. Step 4: Simplify right side
    3,777.16x = 8,980,713.49
  5. Step 5: Solve for x
    x = 8,980,713.49/3,777.16
  6. Step 6: Final answer
    x = 2,377.64

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