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Finding the Fourth Proportional to 3,635.84, 5,017.44 and 2,144

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Solution

The fourth proportional to 3,635.84, 5,017.44 and 2,144 is: 2,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.84 : 5,017.44 = 2,144 : x
  2. Step 2: Convert to fraction form
    3,635.84/5,017.44 = 2,144/x
  3. Step 3: Cross multiply
    3,635.84x = 5,017.44 × 2,144
  4. Step 4: Simplify right side
    3,635.84x = 10,757,391.36
  5. Step 5: Solve for x
    x = 10,757,391.36/3,635.84
  6. Step 6: Final answer
    x = 2,958.71

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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.