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Finding the Fourth Proportional to 3,613, 5,419.78 and 2,052.40

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Solution

The fourth proportional to 3,613, 5,419.78 and 2,052.40 is: 3,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 5,419.78 = 2,052.40 : x
  2. Step 2: Convert to fraction form
    3,613/5,419.78 = 2,052.40/x
  3. Step 3: Cross multiply
    3,613x = 5,419.78 × 2,052.40
  4. Step 4: Simplify right side
    3,613x = 11,123,556.47
  5. Step 5: Solve for x
    x = 11,123,556.47/3,613
  6. Step 6: Final answer
    x = 3,078.76

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