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Finding the Fourth Proportional to 3,827.70, 5,741.73 and 1,362.54

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Solution

The fourth proportional to 3,827.70, 5,741.73 and 1,362.54 is: 2,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.70 : 5,741.73 = 1,362.54 : x
  2. Step 2: Convert to fraction form
    3,827.70/5,741.73 = 1,362.54/x
  3. Step 3: Cross multiply
    3,827.70x = 5,741.73 × 1,362.54
  4. Step 4: Simplify right side
    3,827.70x = 7,823,336.79
  5. Step 5: Solve for x
    x = 7,823,336.79/3,827.70
  6. Step 6: Final answer
    x = 2,043.87

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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.