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Finding the Fourth Proportional to 4,634.82, 6,379.92 and 4,044.33

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Solution

The fourth proportional to 4,634.82, 6,379.92 and 4,044.33 is: 5,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.82 : 6,379.92 = 4,044.33 : x
  2. Step 2: Convert to fraction form
    4,634.82/6,379.92 = 4,044.33/x
  3. Step 3: Cross multiply
    4,634.82x = 6,379.92 × 4,044.33
  4. Step 4: Simplify right side
    4,634.82x = 25,802,501.85
  5. Step 5: Solve for x
    x = 25,802,501.85/4,634.82
  6. Step 6: Final answer
    x = 5,567.10

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