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Finding the Fourth Proportional to 5,201.82, 7,805.16 and 3,252.96

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Solution

The fourth proportional to 5,201.82, 7,805.16 and 3,252.96 is: 4,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.82 : 7,805.16 = 3,252.96 : x
  2. Step 2: Convert to fraction form
    5,201.82/7,805.16 = 3,252.96/x
  3. Step 3: Cross multiply
    5,201.82x = 7,805.16 × 3,252.96
  4. Step 4: Simplify right side
    5,201.82x = 25,389,873.27
  5. Step 5: Solve for x
    x = 25,389,873.27/5,201.82
  6. Step 6: Final answer
    x = 4,880.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.