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Finding the Fourth Proportional to 5,227.89, 7,836.30 and 3,253.47

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Solution

The fourth proportional to 5,227.89, 7,836.30 and 3,253.47 is: 4,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.89 : 7,836.30 = 3,253.47 : x
  2. Step 2: Convert to fraction form
    5,227.89/7,836.30 = 3,253.47/x
  3. Step 3: Cross multiply
    5,227.89x = 7,836.30 × 3,253.47
  4. Step 4: Simplify right side
    5,227.89x = 25,495,166.96
  5. Step 5: Solve for x
    x = 25,495,166.96/5,227.89
  6. Step 6: Final answer
    x = 4,876.76

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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.