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Finding the Fourth Proportional to 3,101.56, 4,282.16 and 2,769.44

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Solution

The fourth proportional to 3,101.56, 4,282.16 and 2,769.44 is: 3,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.56 : 4,282.16 = 2,769.44 : x
  2. Step 2: Convert to fraction form
    3,101.56/4,282.16 = 2,769.44/x
  3. Step 3: Cross multiply
    3,101.56x = 4,282.16 × 2,769.44
  4. Step 4: Simplify right side
    3,101.56x = 11,859,185.19
  5. Step 5: Solve for x
    x = 11,859,185.19/3,101.56
  6. Step 6: Final answer
    x = 3,823.62

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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.