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Finding the Fourth Proportional to 5,756.57, 7,944.53 and 3,238.53

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Solution

The fourth proportional to 5,756.57, 7,944.53 and 3,238.53 is: 4,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.57 : 7,944.53 = 3,238.53 : x
  2. Step 2: Convert to fraction form
    5,756.57/7,944.53 = 3,238.53/x
  3. Step 3: Cross multiply
    5,756.57x = 7,944.53 × 3,238.53
  4. Step 4: Simplify right side
    5,756.57x = 25,728,582.55
  5. Step 5: Solve for x
    x = 25,728,582.55/5,756.57
  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.