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Finding the Fourth Proportional to 3,827.79, 5,740.25 and 1,229.31

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Solution

The fourth proportional to 3,827.79, 5,740.25 and 1,229.31 is: 1,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.79 : 5,740.25 = 1,229.31 : x
  2. Step 2: Convert to fraction form
    3,827.79/5,740.25 = 1,229.31/x
  3. Step 3: Cross multiply
    3,827.79x = 5,740.25 × 1,229.31
  4. Step 4: Simplify right side
    3,827.79x = 7,056,540.58
  5. Step 5: Solve for x
    x = 7,056,540.58/3,827.79
  6. Step 6: Final answer
    x = 1,843.50

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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.