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Finding the Fourth Proportional to 5,072.26, 6,998.97 and 2,977.06

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Solution

The fourth proportional to 5,072.26, 6,998.97 and 2,977.06 is: 4,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.26 : 6,998.97 = 2,977.06 : x
  2. Step 2: Convert to fraction form
    5,072.26/6,998.97 = 2,977.06/x
  3. Step 3: Cross multiply
    5,072.26x = 6,998.97 × 2,977.06
  4. Step 4: Simplify right side
    5,072.26x = 20,836,353.63
  5. Step 5: Solve for x
    x = 20,836,353.63/5,072.26
  6. Step 6: Final answer
    x = 4,107.90

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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.