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Finding the Fourth Proportional to 5,243.52, 7,865.26 and 2,644.62

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Solution

The fourth proportional to 5,243.52, 7,865.26 and 2,644.62 is: 3,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.52 : 7,865.26 = 2,644.62 : x
  2. Step 2: Convert to fraction form
    5,243.52/7,865.26 = 2,644.62/x
  3. Step 3: Cross multiply
    5,243.52x = 7,865.26 × 2,644.62
  4. Step 4: Simplify right side
    5,243.52x = 20,800,623.90
  5. Step 5: Solve for x
    x = 20,800,623.90/5,243.52
  6. Step 6: Final answer
    x = 3,966.92

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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.