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Finding the Fourth Proportional to 5,213.58, 7,813.09 and 3,745.86

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Solution

The fourth proportional to 5,213.58, 7,813.09 and 3,745.86 is: 5,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.58 : 7,813.09 = 3,745.86 : x
  2. Step 2: Convert to fraction form
    5,213.58/7,813.09 = 3,745.86/x
  3. Step 3: Cross multiply
    5,213.58x = 7,813.09 × 3,745.86
  4. Step 4: Simplify right side
    5,213.58x = 29,266,741.31
  5. Step 5: Solve for x
    x = 29,266,741.31/5,213.58
  6. Step 6: Final answer
    x = 5,613.56

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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.