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Finding the Fourth Proportional to 3,768.84, 5,196.48 and 3,561

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Solution

The fourth proportional to 3,768.84, 5,196.48 and 3,561 is: 4,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.84 : 5,196.48 = 3,561 : x
  2. Step 2: Convert to fraction form
    3,768.84/5,196.48 = 3,561/x
  3. Step 3: Cross multiply
    3,768.84x = 5,196.48 × 3,561
  4. Step 4: Simplify right side
    3,768.84x = 18,504,665.28
  5. Step 5: Solve for x
    x = 18,504,665.28/3,768.84
  6. Step 6: Final answer
    x = 4,909.91

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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.