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Finding the Fourth Proportional to 3,407.75, 5,111.03 and 908.97

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Solution

The fourth proportional to 3,407.75, 5,111.03 and 908.97 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.75 : 5,111.03 = 908.97 : x
  2. Step 2: Convert to fraction form
    3,407.75/5,111.03 = 908.97/x
  3. Step 3: Cross multiply
    3,407.75x = 5,111.03 × 908.97
  4. Step 4: Simplify right side
    3,407.75x = 4,645,770.42
  5. Step 5: Solve for x
    x = 4,645,770.42/3,407.75
  6. Step 6: Final answer
    x = 1,363.29

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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.