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Finding the Fourth Proportional to 3,408.09, 5,108.49 and 1,216.10

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Solution

The fourth proportional to 3,408.09, 5,108.49 and 1,216.10 is: 1,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.09 : 5,108.49 = 1,216.10 : x
  2. Step 2: Convert to fraction form
    3,408.09/5,108.49 = 1,216.10/x
  3. Step 3: Cross multiply
    3,408.09x = 5,108.49 × 1,216.10
  4. Step 4: Simplify right side
    3,408.09x = 6,212,434.69
  5. Step 5: Solve for x
    x = 6,212,434.69/3,408.09
  6. Step 6: Final answer
    x = 1,822.85

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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.