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Finding the Fourth Proportional to 5,198.93, 7,795.59 and 2,273.82

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Solution

The fourth proportional to 5,198.93, 7,795.59 and 2,273.82 is: 3,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.93 : 7,795.59 = 2,273.82 : x
  2. Step 2: Convert to fraction form
    5,198.93/7,795.59 = 2,273.82/x
  3. Step 3: Cross multiply
    5,198.93x = 7,795.59 × 2,273.82
  4. Step 4: Simplify right side
    5,198.93x = 17,725,768.45
  5. Step 5: Solve for x
    x = 17,725,768.45/5,198.93
  6. Step 6: Final answer
    x = 3,409.50

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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.