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Finding the Fourth Proportional to 5,735.89, 7,912.80 and 3,636.37

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Solution

The fourth proportional to 5,735.89, 7,912.80 and 3,636.37 is: 5,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.89 : 7,912.80 = 3,636.37 : x
  2. Step 2: Convert to fraction form
    5,735.89/7,912.80 = 3,636.37/x
  3. Step 3: Cross multiply
    5,735.89x = 7,912.80 × 3,636.37
  4. Step 4: Simplify right side
    5,735.89x = 28,773,868.54
  5. Step 5: Solve for x
    x = 28,773,868.54/5,735.89
  6. Step 6: Final answer
    x = 5,016.46

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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.