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Finding the Fourth Proportional to 3,904.49, 5,842.76 and 3,643.80

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Solution

The fourth proportional to 3,904.49, 5,842.76 and 3,643.80 is: 5,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.49 : 5,842.76 = 3,643.80 : x
  2. Step 2: Convert to fraction form
    3,904.49/5,842.76 = 3,643.80/x
  3. Step 3: Cross multiply
    3,904.49x = 5,842.76 × 3,643.80
  4. Step 4: Simplify right side
    3,904.49x = 21,289,830.67
  5. Step 5: Solve for x
    x = 21,289,830.67/3,904.49
  6. Step 6: Final answer
    x = 5,452.66

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