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Finding the Fourth Proportional to 5,072.86, 7,609.75 and 1,375.11

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Solution

The fourth proportional to 5,072.86, 7,609.75 and 1,375.11 is: 2,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.86 : 7,609.75 = 1,375.11 : x
  2. Step 2: Convert to fraction form
    5,072.86/7,609.75 = 1,375.11/x
  3. Step 3: Cross multiply
    5,072.86x = 7,609.75 × 1,375.11
  4. Step 4: Simplify right side
    5,072.86x = 10,464,239.88
  5. Step 5: Solve for x
    x = 10,464,239.88/5,072.86
  6. Step 6: Final answer
    x = 2,062.79

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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.