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Finding the Fourth Proportional to 4,047.49, 6,072.05 and 1,274.59

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Solution

The fourth proportional to 4,047.49, 6,072.05 and 1,274.59 is: 1,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.49 : 6,072.05 = 1,274.59 : x
  2. Step 2: Convert to fraction form
    4,047.49/6,072.05 = 1,274.59/x
  3. Step 3: Cross multiply
    4,047.49x = 6,072.05 × 1,274.59
  4. Step 4: Simplify right side
    4,047.49x = 7,739,374.21
  5. Step 5: Solve for x
    x = 7,739,374.21/4,047.49
  6. Step 6: Final answer
    x = 1,912.14

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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.