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Finding the Fourth Proportional to 5,208.26, 7,813.08 and 2,743.22

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Solution

The fourth proportional to 5,208.26, 7,813.08 and 2,743.22 is: 4,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.26 : 7,813.08 = 2,743.22 : x
  2. Step 2: Convert to fraction form
    5,208.26/7,813.08 = 2,743.22/x
  3. Step 3: Cross multiply
    5,208.26x = 7,813.08 × 2,743.22
  4. Step 4: Simplify right side
    5,208.26x = 21,432,997.32
  5. Step 5: Solve for x
    x = 21,432,997.32/5,208.26
  6. Step 6: Final answer
    x = 4,115.19

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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.