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Finding the Fourth Proportional to 3,830.39, 5,742.90 and 1,956.85

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Solution

The fourth proportional to 3,830.39, 5,742.90 and 1,956.85 is: 2,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.39 : 5,742.90 = 1,956.85 : x
  2. Step 2: Convert to fraction form
    3,830.39/5,742.90 = 1,956.85/x
  3. Step 3: Cross multiply
    3,830.39x = 5,742.90 × 1,956.85
  4. Step 4: Simplify right side
    3,830.39x = 11,237,993.87
  5. Step 5: Solve for x
    x = 11,237,993.87/3,830.39
  6. Step 6: Final answer
    x = 2,933.90

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