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Finding the Fourth Proportional to 5,668.50, 7,822.46 and 3,245.54

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Solution

The fourth proportional to 5,668.50, 7,822.46 and 3,245.54 is: 4,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.50 : 7,822.46 = 3,245.54 : x
  2. Step 2: Convert to fraction form
    5,668.50/7,822.46 = 3,245.54/x
  3. Step 3: Cross multiply
    5,668.50x = 7,822.46 × 3,245.54
  4. Step 4: Simplify right side
    5,668.50x = 25,388,134.50
  5. Step 5: Solve for x
    x = 25,388,134.50/5,668.50
  6. Step 6: Final answer
    x = 4,478.81

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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.