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Finding the Fourth Proportional to 5,213.60, 7,813.08 and 3,745.88

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Solution

The fourth proportional to 5,213.60, 7,813.08 and 3,745.88 is: 5,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.60 : 7,813.08 = 3,745.88 : x
  2. Step 2: Convert to fraction form
    5,213.60/7,813.08 = 3,745.88/x
  3. Step 3: Cross multiply
    5,213.60x = 7,813.08 × 3,745.88
  4. Step 4: Simplify right side
    5,213.60x = 29,266,821.05
  5. Step 5: Solve for x
    x = 29,266,821.05/5,213.60
  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.