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Finding the Fourth Proportional to 4,241.68, 5,839.20 and 3,648.76

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Solution

The fourth proportional to 4,241.68, 5,839.20 and 3,648.76 is: 5,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.68 : 5,839.20 = 3,648.76 : x
  2. Step 2: Convert to fraction form
    4,241.68/5,839.20 = 3,648.76/x
  3. Step 3: Cross multiply
    4,241.68x = 5,839.20 × 3,648.76
  4. Step 4: Simplify right side
    4,241.68x = 21,305,839.39
  5. Step 5: Solve for x
    x = 21,305,839.39/4,241.68
  6. Step 6: Final answer
    x = 5,022.97

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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.