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Finding the Fourth Proportional to 5,352.99, 8,027.41 and 1,842.33

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Solution

The fourth proportional to 5,352.99, 8,027.41 and 1,842.33 is: 2,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.99 : 8,027.41 = 1,842.33 : x
  2. Step 2: Convert to fraction form
    5,352.99/8,027.41 = 1,842.33/x
  3. Step 3: Cross multiply
    5,352.99x = 8,027.41 × 1,842.33
  4. Step 4: Simplify right side
    5,352.99x = 14,789,129.05
  5. Step 5: Solve for x
    x = 14,789,129.05/5,352.99
  6. Step 6: Final answer
    x = 2,762.78

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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.