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Finding the Fourth Proportional to 4,047.98, 6,072.82 and 1,969.11

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Solution

The fourth proportional to 4,047.98, 6,072.82 and 1,969.11 is: 2,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.98 : 6,072.82 = 1,969.11 : x
  2. Step 2: Convert to fraction form
    4,047.98/6,072.82 = 1,969.11/x
  3. Step 3: Cross multiply
    4,047.98x = 6,072.82 × 1,969.11
  4. Step 4: Simplify right side
    4,047.98x = 11,958,056.74
  5. Step 5: Solve for x
    x = 11,958,056.74/4,047.98
  6. Step 6: Final answer
    x = 2,954.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.