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Finding the Fourth Proportional to 3,782.91, 5,670.21 and 3,233.43

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Solution

The fourth proportional to 3,782.91, 5,670.21 and 3,233.43 is: 4,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.91 : 5,670.21 = 3,233.43 : x
  2. Step 2: Convert to fraction form
    3,782.91/5,670.21 = 3,233.43/x
  3. Step 3: Cross multiply
    3,782.91x = 5,670.21 × 3,233.43
  4. Step 4: Simplify right side
    3,782.91x = 18,334,227.12
  5. Step 5: Solve for x
    x = 18,334,227.12/3,782.91
  6. Step 6: Final answer
    x = 4,846.59

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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.