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Finding the Fourth Proportional to 5,819.86, 8,725.20 and 2,896.48

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Solution

The fourth proportional to 5,819.86, 8,725.20 and 2,896.48 is: 4,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.86 : 8,725.20 = 2,896.48 : x
  2. Step 2: Convert to fraction form
    5,819.86/8,725.20 = 2,896.48/x
  3. Step 3: Cross multiply
    5,819.86x = 8,725.20 × 2,896.48
  4. Step 4: Simplify right side
    5,819.86x = 25,272,367.30
  5. Step 5: Solve for x
    x = 25,272,367.30/5,819.86
  6. Step 6: Final answer
    x = 4,342.44

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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.