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Finding the Fourth Proportional to 5,751.36, 7,934.56 and 3,893.44

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Solution

The fourth proportional to 5,751.36, 7,934.56 and 3,893.44 is: 5,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.36 : 7,934.56 = 3,893.44 : x
  2. Step 2: Convert to fraction form
    5,751.36/7,934.56 = 3,893.44/x
  3. Step 3: Cross multiply
    5,751.36x = 7,934.56 × 3,893.44
  4. Step 4: Simplify right side
    5,751.36x = 30,892,733.29
  5. Step 5: Solve for x
    x = 30,892,733.29/5,751.36
  6. Step 6: Final answer
    x = 5,371.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.