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Finding the Fourth Proportional to 5,630.62, 7,770.86 and 3,241.33

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Solution

The fourth proportional to 5,630.62, 7,770.86 and 3,241.33 is: 4,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.62 : 7,770.86 = 3,241.33 : x
  2. Step 2: Convert to fraction form
    5,630.62/7,770.86 = 3,241.33/x
  3. Step 3: Cross multiply
    5,630.62x = 7,770.86 × 3,241.33
  4. Step 4: Simplify right side
    5,630.62x = 25,187,921.64
  5. Step 5: Solve for x
    x = 25,187,921.64/5,630.62
  6. Step 6: Final answer
    x = 4,473.38

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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.