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Finding the Fourth Proportional to 3,830.02, 5,742.34 and 1,956.48

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Solution

The fourth proportional to 3,830.02, 5,742.34 and 1,956.48 is: 2,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.02 : 5,742.34 = 1,956.48 : x
  2. Step 2: Convert to fraction form
    3,830.02/5,742.34 = 1,956.48/x
  3. Step 3: Cross multiply
    3,830.02x = 5,742.34 × 1,956.48
  4. Step 4: Simplify right side
    3,830.02x = 11,234,744.65
  5. Step 5: Solve for x
    x = 11,234,744.65/3,830.02
  6. Step 6: Final answer
    x = 2,933.34

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