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Finding the Fourth Proportional to 3,775.77, 5,664.47 and 1,583.24

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Solution

The fourth proportional to 3,775.77, 5,664.47 and 1,583.24 is: 2,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.77 : 5,664.47 = 1,583.24 : x
  2. Step 2: Convert to fraction form
    3,775.77/5,664.47 = 1,583.24/x
  3. Step 3: Cross multiply
    3,775.77x = 5,664.47 × 1,583.24
  4. Step 4: Simplify right side
    3,775.77x = 8,968,179.24
  5. Step 5: Solve for x
    x = 8,968,179.24/3,775.77
  6. Step 6: Final answer
    x = 2,375.19

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