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Finding the Fourth Proportional to 3,869.60, 5,809.84 and 2,022.24

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Solution

The fourth proportional to 3,869.60, 5,809.84 and 2,022.24 is: 3,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.60 : 5,809.84 = 2,022.24 : x
  2. Step 2: Convert to fraction form
    3,869.60/5,809.84 = 2,022.24/x
  3. Step 3: Cross multiply
    3,869.60x = 5,809.84 × 2,022.24
  4. Step 4: Simplify right side
    3,869.60x = 11,748,890.84
  5. Step 5: Solve for x
    x = 11,748,890.84/3,869.60
  6. Step 6: Final answer
    x = 3,036.20

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