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Finding the Fourth Proportional to 3,827.80, 5,741.70 and 3,341.80

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Solution

The fourth proportional to 3,827.80, 5,741.70 and 3,341.80 is: 5,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.80 : 5,741.70 = 3,341.80 : x
  2. Step 2: Convert to fraction form
    3,827.80/5,741.70 = 3,341.80/x
  3. Step 3: Cross multiply
    3,827.80x = 5,741.70 × 3,341.80
  4. Step 4: Simplify right side
    3,827.80x = 19,187,613.06
  5. Step 5: Solve for x
    x = 19,187,613.06/3,827.80
  6. Step 6: Final answer
    x = 5,012.70

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