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Finding the Fourth Proportional to 3,827.54, 5,741.10 and 1,230.27

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Solution

The fourth proportional to 3,827.54, 5,741.10 and 1,230.27 is: 1,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.54 : 5,741.10 = 1,230.27 : x
  2. Step 2: Convert to fraction form
    3,827.54/5,741.10 = 1,230.27/x
  3. Step 3: Cross multiply
    3,827.54x = 5,741.10 × 1,230.27
  4. Step 4: Simplify right side
    3,827.54x = 7,063,103.10
  5. Step 5: Solve for x
    x = 7,063,103.10/3,827.54
  6. Step 6: Final answer
    x = 1,845.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.