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Finding the Fourth Proportional to 3,814.55, 5,243.83 and 3,281.48

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Solution

The fourth proportional to 3,814.55, 5,243.83 and 3,281.48 is: 4,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.55 : 5,243.83 = 3,281.48 : x
  2. Step 2: Convert to fraction form
    3,814.55/5,243.83 = 3,281.48/x
  3. Step 3: Cross multiply
    3,814.55x = 5,243.83 × 3,281.48
  4. Step 4: Simplify right side
    3,814.55x = 17,207,523.27
  5. Step 5: Solve for x
    x = 17,207,523.27/3,814.55
  6. Step 6: Final answer
    x = 4,511.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.