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Finding the Fourth Proportional to 3,666.74, 5,500.44 and 1,586.80

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Solution

The fourth proportional to 3,666.74, 5,500.44 and 1,586.80 is: 2,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.74 : 5,500.44 = 1,586.80 : x
  2. Step 2: Convert to fraction form
    3,666.74/5,500.44 = 1,586.80/x
  3. Step 3: Cross multiply
    3,666.74x = 5,500.44 × 1,586.80
  4. Step 4: Simplify right side
    3,666.74x = 8,728,098.19
  5. Step 5: Solve for x
    x = 8,728,098.19/3,666.74
  6. Step 6: Final answer
    x = 2,380.34

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