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Finding the Fourth Proportional to 5,734.28, 8,596.79 and 2,034.47

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Solution

The fourth proportional to 5,734.28, 8,596.79 and 2,034.47 is: 3,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.28 : 8,596.79 = 2,034.47 : x
  2. Step 2: Convert to fraction form
    5,734.28/8,596.79 = 2,034.47/x
  3. Step 3: Cross multiply
    5,734.28x = 8,596.79 × 2,034.47
  4. Step 4: Simplify right side
    5,734.28x = 17,489,858.20
  5. Step 5: Solve for x
    x = 17,489,858.20/5,734.28
  6. Step 6: Final answer
    x = 3,050.06

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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.