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Finding the Fourth Proportional to 3,805.42, 5,705.85 and 1,581.57

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Solution

The fourth proportional to 3,805.42, 5,705.85 and 1,581.57 is: 2,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.42 : 5,705.85 = 1,581.57 : x
  2. Step 2: Convert to fraction form
    3,805.42/5,705.85 = 1,581.57/x
  3. Step 3: Cross multiply
    3,805.42x = 5,705.85 × 1,581.57
  4. Step 4: Simplify right side
    3,805.42x = 9,024,195.32
  5. Step 5: Solve for x
    x = 9,024,195.32/3,805.42
  6. Step 6: Final answer
    x = 2,371.41

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