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Finding the Fourth Proportional to 3,146.93, 4,716.95 and 1,584.44

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Solution

The fourth proportional to 3,146.93, 4,716.95 and 1,584.44 is: 2,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.93 : 4,716.95 = 1,584.44 : x
  2. Step 2: Convert to fraction form
    3,146.93/4,716.95 = 1,584.44/x
  3. Step 3: Cross multiply
    3,146.93x = 4,716.95 × 1,584.44
  4. Step 4: Simplify right side
    3,146.93x = 7,473,692.75
  5. Step 5: Solve for x
    x = 7,473,692.75/3,146.93
  6. Step 6: Final answer
    x = 2,374.92

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