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Finding the Fourth Proportional to 3,200.89, 4,770.49 and 3,196.03

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Solution

The fourth proportional to 3,200.89, 4,770.49 and 3,196.03 is: 4,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.89 : 4,770.49 = 3,196.03 : x
  2. Step 2: Convert to fraction form
    3,200.89/4,770.49 = 3,196.03/x
  3. Step 3: Cross multiply
    3,200.89x = 4,770.49 × 3,196.03
  4. Step 4: Simplify right side
    3,200.89x = 15,246,629.15
  5. Step 5: Solve for x
    x = 15,246,629.15/3,200.89
  6. Step 6: Final answer
    x = 4,763.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.