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Finding the Fourth Proportional to 3,892.63, 5,841.37 and 1,584.13

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Solution

The fourth proportional to 3,892.63, 5,841.37 and 1,584.13 is: 2,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.63 : 5,841.37 = 1,584.13 : x
  2. Step 2: Convert to fraction form
    3,892.63/5,841.37 = 1,584.13/x
  3. Step 3: Cross multiply
    3,892.63x = 5,841.37 × 1,584.13
  4. Step 4: Simplify right side
    3,892.63x = 9,253,460.25
  5. Step 5: Solve for x
    x = 9,253,460.25/3,892.63
  6. Step 6: Final answer
    x = 2,377.18

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