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Finding the Fourth Proportional to 3,692.32, 5,538.30 and 1,584.04

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Solution

The fourth proportional to 3,692.32, 5,538.30 and 1,584.04 is: 2,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.32 : 5,538.30 = 1,584.04 : x
  2. Step 2: Convert to fraction form
    3,692.32/5,538.30 = 1,584.04/x
  3. Step 3: Cross multiply
    3,692.32x = 5,538.30 × 1,584.04
  4. Step 4: Simplify right side
    3,692.32x = 8,772,888.73
  5. Step 5: Solve for x
    x = 8,772,888.73/3,692.32
  6. Step 6: Final answer
    x = 2,375.98

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