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Finding the Fourth Proportional to 3,893.82, 5,861.88 and 3,492

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Solution

The fourth proportional to 3,893.82, 5,861.88 and 3,492 is: 5,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.82 : 5,861.88 = 3,492 : x
  2. Step 2: Convert to fraction form
    3,893.82/5,861.88 = 3,492/x
  3. Step 3: Cross multiply
    3,893.82x = 5,861.88 × 3,492
  4. Step 4: Simplify right side
    3,893.82x = 20,469,684.96
  5. Step 5: Solve for x
    x = 20,469,684.96/3,893.82
  6. Step 6: Final answer
    x = 5,256.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.