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Finding the Fourth Proportional to 5,982.75, 8,253.36 and 4,215.33

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Solution

The fourth proportional to 5,982.75, 8,253.36 and 4,215.33 is: 5,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.75 : 8,253.36 = 4,215.33 : x
  2. Step 2: Convert to fraction form
    5,982.75/8,253.36 = 4,215.33/x
  3. Step 3: Cross multiply
    5,982.75x = 8,253.36 × 4,215.33
  4. Step 4: Simplify right side
    5,982.75x = 34,790,636.01
  5. Step 5: Solve for x
    x = 34,790,636.01/5,982.75
  6. Step 6: Final answer
    x = 5,815.16

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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.