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Finding the Fourth Proportional to 3,778.82, 5,662.45 and 1,586.35

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Solution

The fourth proportional to 3,778.82, 5,662.45 and 1,586.35 is: 2,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.82 : 5,662.45 = 1,586.35 : x
  2. Step 2: Convert to fraction form
    3,778.82/5,662.45 = 1,586.35/x
  3. Step 3: Cross multiply
    3,778.82x = 5,662.45 × 1,586.35
  4. Step 4: Simplify right side
    3,778.82x = 8,982,627.56
  5. Step 5: Solve for x
    x = 8,982,627.56/3,778.82
  6. Step 6: Final answer
    x = 2,377.10

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