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Finding the Fourth Proportional to 3,408.99, 5,113.94 and 1,188.27

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Solution

The fourth proportional to 3,408.99, 5,113.94 and 1,188.27 is: 1,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.99 : 5,113.94 = 1,188.27 : x
  2. Step 2: Convert to fraction form
    3,408.99/5,113.94 = 1,188.27/x
  3. Step 3: Cross multiply
    3,408.99x = 5,113.94 × 1,188.27
  4. Step 4: Simplify right side
    3,408.99x = 6,076,735.54
  5. Step 5: Solve for x
    x = 6,076,735.54/3,408.99
  6. Step 6: Final answer
    x = 1,782.56

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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.