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Finding the Fourth Proportional to 5,513.70, 8,270.55 and 5,149.20

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Solution

The fourth proportional to 5,513.70, 8,270.55 and 5,149.20 is: 7,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.70 : 8,270.55 = 5,149.20 : x
  2. Step 2: Convert to fraction form
    5,513.70/8,270.55 = 5,149.20/x
  3. Step 3: Cross multiply
    5,513.70x = 8,270.55 × 5,149.20
  4. Step 4: Simplify right side
    5,513.70x = 42,586,716.06
  5. Step 5: Solve for x
    x = 42,586,716.06/5,513.70
  6. Step 6: Final answer
    x = 7,723.80

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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.