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Finding the Fourth Proportional to 3,827.28, 5,740.38 and 1,229.88

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Solution

The fourth proportional to 3,827.28, 5,740.38 and 1,229.88 is: 1,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.28 : 5,740.38 = 1,229.88 : x
  2. Step 2: Convert to fraction form
    3,827.28/5,740.38 = 1,229.88/x
  3. Step 3: Cross multiply
    3,827.28x = 5,740.38 × 1,229.88
  4. Step 4: Simplify right side
    3,827.28x = 7,059,978.55
  5. Step 5: Solve for x
    x = 7,059,978.55/3,827.28
  6. Step 6: Final answer
    x = 1,844.65

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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.