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Finding the Fourth Proportional to 3,812.40, 5,719.95 and 3,677.40

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Solution

The fourth proportional to 3,812.40, 5,719.95 and 3,677.40 is: 5,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.40 : 5,719.95 = 3,677.40 : x
  2. Step 2: Convert to fraction form
    3,812.40/5,719.95 = 3,677.40/x
  3. Step 3: Cross multiply
    3,812.40x = 5,719.95 × 3,677.40
  4. Step 4: Simplify right side
    3,812.40x = 21,034,544.13
  5. Step 5: Solve for x
    x = 21,034,544.13/3,812.40
  6. Step 6: Final answer
    x = 5,517.40

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