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Finding the Fourth Proportional to 3,492.75, 5,236.97 and 1,644.33

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Solution

The fourth proportional to 3,492.75, 5,236.97 and 1,644.33 is: 2,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.75 : 5,236.97 = 1,644.33 : x
  2. Step 2: Convert to fraction form
    3,492.75/5,236.97 = 1,644.33/x
  3. Step 3: Cross multiply
    3,492.75x = 5,236.97 × 1,644.33
  4. Step 4: Simplify right side
    3,492.75x = 8,611,327.55
  5. Step 5: Solve for x
    x = 8,611,327.55/3,492.75
  6. Step 6: Final answer
    x = 2,465.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.