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Finding the Fourth Proportional to 5,734.09, 8,601.14 and 1,574.54

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Solution

The fourth proportional to 5,734.09, 8,601.14 and 1,574.54 is: 2,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.09 : 8,601.14 = 1,574.54 : x
  2. Step 2: Convert to fraction form
    5,734.09/8,601.14 = 1,574.54/x
  3. Step 3: Cross multiply
    5,734.09x = 8,601.14 × 1,574.54
  4. Step 4: Simplify right side
    5,734.09x = 13,542,823.30
  5. Step 5: Solve for x
    x = 13,542,823.30/5,734.09
  6. Step 6: Final answer
    x = 2,361.81

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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.