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Finding the Fourth Proportional to 5,734.70, 7,914.34 and 3,377.30

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Solution

The fourth proportional to 5,734.70, 7,914.34 and 3,377.30 is: 4,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.70 : 7,914.34 = 3,377.30 : x
  2. Step 2: Convert to fraction form
    5,734.70/7,914.34 = 3,377.30/x
  3. Step 3: Cross multiply
    5,734.70x = 7,914.34 × 3,377.30
  4. Step 4: Simplify right side
    5,734.70x = 26,729,100.48
  5. Step 5: Solve for x
    x = 26,729,100.48/5,734.70
  6. Step 6: Final answer
    x = 4,660.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.