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Finding the Fourth Proportional to 3,827.61, 5,741.82 and 1,362.66

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Solution

The fourth proportional to 3,827.61, 5,741.82 and 1,362.66 is: 2,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.61 : 5,741.82 = 1,362.66 : x
  2. Step 2: Convert to fraction form
    3,827.61/5,741.82 = 1,362.66/x
  3. Step 3: Cross multiply
    3,827.61x = 5,741.82 × 1,362.66
  4. Step 4: Simplify right side
    3,827.61x = 7,824,148.44
  5. Step 5: Solve for x
    x = 7,824,148.44/3,827.61
  6. Step 6: Final answer
    x = 2,044.13

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