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Finding the Fourth Proportional to 5,756.42, 7,943.99 and 3,238.67

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Solution

The fourth proportional to 5,756.42, 7,943.99 and 3,238.67 is: 4,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.42 : 7,943.99 = 3,238.67 : x
  2. Step 2: Convert to fraction form
    5,756.42/7,943.99 = 3,238.67/x
  3. Step 3: Cross multiply
    5,756.42x = 7,943.99 × 3,238.67
  4. Step 4: Simplify right side
    5,756.42x = 25,727,906.18
  5. Step 5: Solve for x
    x = 25,727,906.18/5,756.42
  6. Step 6: Final answer
    x = 4,469.43

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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.