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Finding the Fourth Proportional to 3,408.21, 5,108.64 and 1,649.49

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Solution

The fourth proportional to 3,408.21, 5,108.64 and 1,649.49 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.21 : 5,108.64 = 1,649.49 : x
  2. Step 2: Convert to fraction form
    3,408.21/5,108.64 = 1,649.49/x
  3. Step 3: Cross multiply
    3,408.21x = 5,108.64 × 1,649.49
  4. Step 4: Simplify right side
    3,408.21x = 8,426,669.75
  5. Step 5: Solve for x
    x = 8,426,669.75/3,408.21
  6. Step 6: Final answer
    x = 2,472.46

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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.