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Finding the Fourth Proportional to 3,586.70, 5,381.67 and 1,830.80

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Solution

The fourth proportional to 3,586.70, 5,381.67 and 1,830.80 is: 2,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.70 : 5,381.67 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    3,586.70/5,381.67 = 1,830.80/x
  3. Step 3: Cross multiply
    3,586.70x = 5,381.67 × 1,830.80
  4. Step 4: Simplify right side
    3,586.70x = 9,852,743.84
  5. Step 5: Solve for x
    x = 9,852,743.84/3,586.70
  6. Step 6: Final answer
    x = 2,747.02

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