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Finding the Fourth Proportional to 3,856.62, 5,782.74 and 1,223.63

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Solution

The fourth proportional to 3,856.62, 5,782.74 and 1,223.63 is: 1,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.62 : 5,782.74 = 1,223.63 : x
  2. Step 2: Convert to fraction form
    3,856.62/5,782.74 = 1,223.63/x
  3. Step 3: Cross multiply
    3,856.62x = 5,782.74 × 1,223.63
  4. Step 4: Simplify right side
    3,856.62x = 7,075,934.15
  5. Step 5: Solve for x
    x = 7,075,934.15/3,856.62
  6. Step 6: Final answer
    x = 1,834.75

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