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Finding the Fourth Proportional to 3,586.14, 5,381.64 and 1,738.08

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Solution

The fourth proportional to 3,586.14, 5,381.64 and 1,738.08 is: 2,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.14 : 5,381.64 = 1,738.08 : x
  2. Step 2: Convert to fraction form
    3,586.14/5,381.64 = 1,738.08/x
  3. Step 3: Cross multiply
    3,586.14x = 5,381.64 × 1,738.08
  4. Step 4: Simplify right side
    3,586.14x = 9,353,720.85
  5. Step 5: Solve for x
    x = 9,353,720.85/3,586.14
  6. Step 6: Final answer
    x = 2,608.30

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