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Finding the Fourth Proportional to 5,072.31, 6,998.85 and 2,834.10

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Solution

The fourth proportional to 5,072.31, 6,998.85 and 2,834.10 is: 3,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.31 : 6,998.85 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    5,072.31/6,998.85 = 2,834.10/x
  3. Step 3: Cross multiply
    5,072.31x = 6,998.85 × 2,834.10
  4. Step 4: Simplify right side
    5,072.31x = 19,835,440.79
  5. Step 5: Solve for x
    x = 19,835,440.79/5,072.31
  6. Step 6: Final answer
    x = 3,910.53

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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.