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Finding the Fourth Proportional to 3,408.69, 5,105.54 and 2,816.98

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Solution

The fourth proportional to 3,408.69, 5,105.54 and 2,816.98 is: 4,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.69 : 5,105.54 = 2,816.98 : x
  2. Step 2: Convert to fraction form
    3,408.69/5,105.54 = 2,816.98/x
  3. Step 3: Cross multiply
    3,408.69x = 5,105.54 × 2,816.98
  4. Step 4: Simplify right side
    3,408.69x = 14,382,196.37
  5. Step 5: Solve for x
    x = 14,382,196.37/3,408.69
  6. Step 6: Final answer
    x = 4,219.28

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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.