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Finding the Fourth Proportional to 3,776.66, 5,664.09 and 1,585.43

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Solution

The fourth proportional to 3,776.66, 5,664.09 and 1,585.43 is: 2,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.66 : 5,664.09 = 1,585.43 : x
  2. Step 2: Convert to fraction form
    3,776.66/5,664.09 = 1,585.43/x
  3. Step 3: Cross multiply
    3,776.66x = 5,664.09 × 1,585.43
  4. Step 4: Simplify right side
    3,776.66x = 8,980,018.21
  5. Step 5: Solve for x
    x = 8,980,018.21/3,776.66
  6. Step 6: Final answer
    x = 2,377.77

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