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Finding the Fourth Proportional to 3,846.45, 5,774.22 and 3,237.73

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Solution

The fourth proportional to 3,846.45, 5,774.22 and 3,237.73 is: 4,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.45 : 5,774.22 = 3,237.73 : x
  2. Step 2: Convert to fraction form
    3,846.45/5,774.22 = 3,237.73/x
  3. Step 3: Cross multiply
    3,846.45x = 5,774.22 × 3,237.73
  4. Step 4: Simplify right side
    3,846.45x = 18,695,365.32
  5. Step 5: Solve for x
    x = 18,695,365.32/3,846.45
  6. Step 6: Final answer
    x = 4,860.42

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1.5x scale

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.