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Finding the Fourth Proportional to 5,176.98, 7,144.25 and 2,819.12

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Solution

The fourth proportional to 5,176.98, 7,144.25 and 2,819.12 is: 3,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.98 : 7,144.25 = 2,819.12 : x
  2. Step 2: Convert to fraction form
    5,176.98/7,144.25 = 2,819.12/x
  3. Step 3: Cross multiply
    5,176.98x = 7,144.25 × 2,819.12
  4. Step 4: Simplify right side
    5,176.98x = 20,140,448.24
  5. Step 5: Solve for x
    x = 20,140,448.24/5,176.98
  6. Step 6: Final answer
    x = 3,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.