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Finding the Fourth Proportional to 5,734.80, 7,914.24 and 3,377.28

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Solution

The fourth proportional to 5,734.80, 7,914.24 and 3,377.28 is: 4,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.80 : 7,914.24 = 3,377.28 : x
  2. Step 2: Convert to fraction form
    5,734.80/7,914.24 = 3,377.28/x
  3. Step 3: Cross multiply
    5,734.80x = 7,914.24 × 3,377.28
  4. Step 4: Simplify right side
    5,734.80x = 26,728,604.47
  5. Step 5: Solve for x
    x = 26,728,604.47/5,734.80
  6. Step 6: Final answer
    x = 4,660.77

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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.