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Finding the Fourth Proportional to 3,105.09, 4,649.72 and 3,012.75

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Solution

The fourth proportional to 3,105.09, 4,649.72 and 3,012.75 is: 4,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.09 : 4,649.72 = 3,012.75 : x
  2. Step 2: Convert to fraction form
    3,105.09/4,649.72 = 3,012.75/x
  3. Step 3: Cross multiply
    3,105.09x = 4,649.72 × 3,012.75
  4. Step 4: Simplify right side
    3,105.09x = 14,008,428.87
  5. Step 5: Solve for x
    x = 14,008,428.87/3,105.09
  6. Step 6: Final answer
    x = 4,511.44

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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.