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Finding the Fourth Proportional to 4,761.86, 7,147.44 and 2,575.26

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Solution

The fourth proportional to 4,761.86, 7,147.44 and 2,575.26 is: 3,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.86 : 7,147.44 = 2,575.26 : x
  2. Step 2: Convert to fraction form
    4,761.86/7,147.44 = 2,575.26/x
  3. Step 3: Cross multiply
    4,761.86x = 7,147.44 × 2,575.26
  4. Step 4: Simplify right side
    4,761.86x = 18,406,516.33
  5. Step 5: Solve for x
    x = 18,406,516.33/4,761.86
  6. Step 6: Final answer
    x = 3,865.41

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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.