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Finding the Fourth Proportional to 5,745.73, 7,929.44 and 4,326.91

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Solution

The fourth proportional to 5,745.73, 7,929.44 and 4,326.91 is: 5,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.73 : 7,929.44 = 4,326.91 : x
  2. Step 2: Convert to fraction form
    5,745.73/7,929.44 = 4,326.91/x
  3. Step 3: Cross multiply
    5,745.73x = 7,929.44 × 4,326.91
  4. Step 4: Simplify right side
    5,745.73x = 34,309,998.44
  5. Step 5: Solve for x
    x = 34,309,998.44/5,745.73
  6. Step 6: Final answer
    x = 5,971.39

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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.