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Finding the Fourth Proportional to 5,894.49, 8,134.10 and 3,241.38

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Solution

The fourth proportional to 5,894.49, 8,134.10 and 3,241.38 is: 4,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.49 : 8,134.10 = 3,241.38 : x
  2. Step 2: Convert to fraction form
    5,894.49/8,134.10 = 3,241.38/x
  3. Step 3: Cross multiply
    5,894.49x = 8,134.10 × 3,241.38
  4. Step 4: Simplify right side
    5,894.49x = 26,365,692.85
  5. Step 5: Solve for x
    x = 26,365,692.85/5,894.49
  6. Step 6: Final answer
    x = 4,472.94

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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.