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Finding the Fourth Proportional to 3,776.91, 5,665.77 and 1,584.24

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Solution

The fourth proportional to 3,776.91, 5,665.77 and 1,584.24 is: 2,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.91 : 5,665.77 = 1,584.24 : x
  2. Step 2: Convert to fraction form
    3,776.91/5,665.77 = 1,584.24/x
  3. Step 3: Cross multiply
    3,776.91x = 5,665.77 × 1,584.24
  4. Step 4: Simplify right side
    3,776.91x = 8,975,939.46
  5. Step 5: Solve for x
    x = 8,975,939.46/3,776.91
  6. Step 6: Final answer
    x = 2,376.53

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