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Finding the Fourth Proportional to 3,827.55, 5,741.46 and 1,230.42

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Solution

The fourth proportional to 3,827.55, 5,741.46 and 1,230.42 is: 1,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.55 : 5,741.46 = 1,230.42 : x
  2. Step 2: Convert to fraction form
    3,827.55/5,741.46 = 1,230.42/x
  3. Step 3: Cross multiply
    3,827.55x = 5,741.46 × 1,230.42
  4. Step 4: Simplify right side
    3,827.55x = 7,064,407.21
  5. Step 5: Solve for x
    x = 7,064,407.21/3,827.55
  6. Step 6: Final answer
    x = 1,845.67

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