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Finding the Fourth Proportional to 4,072.58, 6,109.22 and 1,299.64

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Solution

The fourth proportional to 4,072.58, 6,109.22 and 1,299.64 is: 1,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.58 : 6,109.22 = 1,299.64 : x
  2. Step 2: Convert to fraction form
    4,072.58/6,109.22 = 1,299.64/x
  3. Step 3: Cross multiply
    4,072.58x = 6,109.22 × 1,299.64
  4. Step 4: Simplify right side
    4,072.58x = 7,939,786.68
  5. Step 5: Solve for x
    x = 7,939,786.68/4,072.58
  6. Step 6: Final answer
    x = 1,949.57

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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.