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Finding the Fourth Proportional to 3,813, 5,262.66 and 2,241.96

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Solution

The fourth proportional to 3,813, 5,262.66 and 2,241.96 is: 3,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813 : 5,262.66 = 2,241.96 : x
  2. Step 2: Convert to fraction form
    3,813/5,262.66 = 2,241.96/x
  3. Step 3: Cross multiply
    3,813x = 5,262.66 × 2,241.96
  4. Step 4: Simplify right side
    3,813x = 11,798,673.21
  5. Step 5: Solve for x
    x = 11,798,673.21/3,813
  6. Step 6: Final answer
    x = 3,094.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.