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Finding the Fourth Proportional to 3,827.48, 5,741.86 and 1,361.78

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Solution

The fourth proportional to 3,827.48, 5,741.86 and 1,361.78 is: 2,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.48 : 5,741.86 = 1,361.78 : x
  2. Step 2: Convert to fraction form
    3,827.48/5,741.86 = 1,361.78/x
  3. Step 3: Cross multiply
    3,827.48x = 5,741.86 × 1,361.78
  4. Step 4: Simplify right side
    3,827.48x = 7,819,150.11
  5. Step 5: Solve for x
    x = 7,819,150.11/3,827.48
  6. Step 6: Final answer
    x = 2,042.90

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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.