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Finding the Fourth Proportional to 3,742.91, 5,613.41 and 1,109.80

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Solution

The fourth proportional to 3,742.91, 5,613.41 and 1,109.80 is: 1,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.91 : 5,613.41 = 1,109.80 : x
  2. Step 2: Convert to fraction form
    3,742.91/5,613.41 = 1,109.80/x
  3. Step 3: Cross multiply
    3,742.91x = 5,613.41 × 1,109.80
  4. Step 4: Simplify right side
    3,742.91x = 6,229,784.86
  5. Step 5: Solve for x
    x = 6,229,784.86/3,742.91
  6. Step 6: Final answer
    x = 1,664.42

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