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Finding the Fourth Proportional to 5,402.80, 8,100.96 and 2,111.97

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Solution

The fourth proportional to 5,402.80, 8,100.96 and 2,111.97 is: 3,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.80 : 8,100.96 = 2,111.97 : x
  2. Step 2: Convert to fraction form
    5,402.80/8,100.96 = 2,111.97/x
  3. Step 3: Cross multiply
    5,402.80x = 8,100.96 × 2,111.97
  4. Step 4: Simplify right side
    5,402.80x = 17,108,984.49
  5. Step 5: Solve for x
    x = 17,108,984.49/5,402.80
  6. Step 6: Final answer
    x = 3,166.69

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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.