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Finding the Fourth Proportional to 3,776.55, 5,665.64 and 1,584.02

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Solution

The fourth proportional to 3,776.55, 5,665.64 and 1,584.02 is: 2,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.55 : 5,665.64 = 1,584.02 : x
  2. Step 2: Convert to fraction form
    3,776.55/5,665.64 = 1,584.02/x
  3. Step 3: Cross multiply
    3,776.55x = 5,665.64 × 1,584.02
  4. Step 4: Simplify right side
    3,776.55x = 8,974,450.82
  5. Step 5: Solve for x
    x = 8,974,450.82/3,776.55
  6. Step 6: Final answer
    x = 2,376.36

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