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Finding the Fourth Proportional to 3,768.96, 5,655.33 and 1,577.64

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Solution

The fourth proportional to 3,768.96, 5,655.33 and 1,577.64 is: 2,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.96 : 5,655.33 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    3,768.96/5,655.33 = 1,577.64/x
  3. Step 3: Cross multiply
    3,768.96x = 5,655.33 × 1,577.64
  4. Step 4: Simplify right side
    3,768.96x = 8,922,074.82
  5. Step 5: Solve for x
    x = 8,922,074.82/3,768.96
  6. Step 6: Final answer
    x = 2,367.25

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