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Finding the Fourth Proportional to 5,692.51, 7,855.70 and 3,174.78

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Solution

The fourth proportional to 5,692.51, 7,855.70 and 3,174.78 is: 4,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.51 : 7,855.70 = 3,174.78 : x
  2. Step 2: Convert to fraction form
    5,692.51/7,855.70 = 3,174.78/x
  3. Step 3: Cross multiply
    5,692.51x = 7,855.70 × 3,174.78
  4. Step 4: Simplify right side
    5,692.51x = 24,940,119.25
  5. Step 5: Solve for x
    x = 24,940,119.25/5,692.51
  6. Step 6: Final answer
    x = 4,381.22

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