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Finding the Fourth Proportional to 3,449.61, 5,174.33 and 1,109.78

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Solution

The fourth proportional to 3,449.61, 5,174.33 and 1,109.78 is: 1,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.61 : 5,174.33 = 1,109.78 : x
  2. Step 2: Convert to fraction form
    3,449.61/5,174.33 = 1,109.78/x
  3. Step 3: Cross multiply
    3,449.61x = 5,174.33 × 1,109.78
  4. Step 4: Simplify right side
    3,449.61x = 5,742,336.53
  5. Step 5: Solve for x
    x = 5,742,336.53/3,449.61
  6. Step 6: Final answer
    x = 1,664.63

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