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Finding the Fourth Proportional to 3,402.75, 4,692.34 and 3,204.33

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Solution

The fourth proportional to 3,402.75, 4,692.34 and 3,204.33 is: 4,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.75 : 4,692.34 = 3,204.33 : x
  2. Step 2: Convert to fraction form
    3,402.75/4,692.34 = 3,204.33/x
  3. Step 3: Cross multiply
    3,402.75x = 4,692.34 × 3,204.33
  4. Step 4: Simplify right side
    3,402.75x = 15,035,805.83
  5. Step 5: Solve for x
    x = 15,035,805.83/3,402.75
  6. Step 6: Final answer
    x = 4,418.72

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Half scale
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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.