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Finding the Fourth Proportional to 3,827.54, 5,741.85 and 1,361.63

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Solution

The fourth proportional to 3,827.54, 5,741.85 and 1,361.63 is: 2,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.54 : 5,741.85 = 1,361.63 : x
  2. Step 2: Convert to fraction form
    3,827.54/5,741.85 = 1,361.63/x
  3. Step 3: Cross multiply
    3,827.54x = 5,741.85 × 1,361.63
  4. Step 4: Simplify right side
    3,827.54x = 7,818,294.68
  5. Step 5: Solve for x
    x = 7,818,294.68/3,827.54
  6. Step 6: Final answer
    x = 2,042.64

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Why These Related Problems?

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