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Finding the Fourth Proportional to 5,735.99, 7,912.31 and 3,608.16

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Solution

The fourth proportional to 5,735.99, 7,912.31 and 3,608.16 is: 4,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.99 : 7,912.31 = 3,608.16 : x
  2. Step 2: Convert to fraction form
    5,735.99/7,912.31 = 3,608.16/x
  3. Step 3: Cross multiply
    5,735.99x = 7,912.31 × 3,608.16
  4. Step 4: Simplify right side
    5,735.99x = 28,548,862.41
  5. Step 5: Solve for x
    x = 28,548,862.41/5,735.99
  6. Step 6: Final answer
    x = 4,977.15

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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.