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Finding the Fourth Proportional to 5,607.44, 7,738.17 and 3,249.80

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Solution

The fourth proportional to 5,607.44, 7,738.17 and 3,249.80 is: 4,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.44 : 7,738.17 = 3,249.80 : x
  2. Step 2: Convert to fraction form
    5,607.44/7,738.17 = 3,249.80/x
  3. Step 3: Cross multiply
    5,607.44x = 7,738.17 × 3,249.80
  4. Step 4: Simplify right side
    5,607.44x = 25,147,504.87
  5. Step 5: Solve for x
    x = 25,147,504.87/5,607.44
  6. Step 6: Final answer
    x = 4,484.67

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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.