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Finding the Fourth Proportional to 5,270.82, 7,906.08 and 1,573.08

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Solution

The fourth proportional to 5,270.82, 7,906.08 and 1,573.08 is: 2,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.82 : 7,906.08 = 1,573.08 : x
  2. Step 2: Convert to fraction form
    5,270.82/7,906.08 = 1,573.08/x
  3. Step 3: Cross multiply
    5,270.82x = 7,906.08 × 1,573.08
  4. Step 4: Simplify right side
    5,270.82x = 12,436,896.33
  5. Step 5: Solve for x
    x = 12,436,896.33/5,270.82
  6. Step 6: Final answer
    x = 2,359.58

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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.