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Finding the Fourth Proportional to 5,383.87, 8,074.33 and 3,406.53

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Solution

The fourth proportional to 5,383.87, 8,074.33 and 3,406.53 is: 5,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.87 : 8,074.33 = 3,406.53 : x
  2. Step 2: Convert to fraction form
    5,383.87/8,074.33 = 3,406.53/x
  3. Step 3: Cross multiply
    5,383.87x = 8,074.33 × 3,406.53
  4. Step 4: Simplify right side
    5,383.87x = 27,505,447.37
  5. Step 5: Solve for x
    x = 27,505,447.37/5,383.87
  6. Step 6: Final answer
    x = 5,108.86

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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.