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Finding the Fourth Proportional to 5,542.07, 8,310 and 1,843.31

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Solution

The fourth proportional to 5,542.07, 8,310 and 1,843.31 is: 2,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.07 : 8,310 = 1,843.31 : x
  2. Step 2: Convert to fraction form
    5,542.07/8,310 = 1,843.31/x
  3. Step 3: Cross multiply
    5,542.07x = 8,310 × 1,843.31
  4. Step 4: Simplify right side
    5,542.07x = 15,317,906.10
  5. Step 5: Solve for x
    x = 15,317,906.10/5,542.07
  6. Step 6: Final answer
    x = 2,763.93

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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.