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Finding the Fourth Proportional to 5,137.92, 7,699.44 and 2,795.94

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Solution

The fourth proportional to 5,137.92, 7,699.44 and 2,795.94 is: 4,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.92 : 7,699.44 = 2,795.94 : x
  2. Step 2: Convert to fraction form
    5,137.92/7,699.44 = 2,795.94/x
  3. Step 3: Cross multiply
    5,137.92x = 7,699.44 × 2,795.94
  4. Step 4: Simplify right side
    5,137.92x = 21,527,172.27
  5. Step 5: Solve for x
    x = 21,527,172.27/5,137.92
  6. Step 6: Final answer
    x = 4,189.86

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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.