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Finding the Fourth Proportional to 5,734.94, 7,914.25 and 3,346.57

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Solution

The fourth proportional to 5,734.94, 7,914.25 and 3,346.57 is: 4,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.94 : 7,914.25 = 3,346.57 : x
  2. Step 2: Convert to fraction form
    5,734.94/7,914.25 = 3,346.57/x
  3. Step 3: Cross multiply
    5,734.94x = 7,914.25 × 3,346.57
  4. Step 4: Simplify right side
    5,734.94x = 26,485,591.62
  5. Step 5: Solve for x
    x = 26,485,591.62/5,734.94
  6. Step 6: Final answer
    x = 4,618.29

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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.