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Finding the Fourth Proportional to 5,668.67, 7,822.64 and 3,278.46

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Solution

The fourth proportional to 5,668.67, 7,822.64 and 3,278.46 is: 4,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.67 : 7,822.64 = 3,278.46 : x
  2. Step 2: Convert to fraction form
    5,668.67/7,822.64 = 3,278.46/x
  3. Step 3: Cross multiply
    5,668.67x = 7,822.64 × 3,278.46
  4. Step 4: Simplify right side
    5,668.67x = 25,646,212.33
  5. Step 5: Solve for x
    x = 25,646,212.33/5,668.67
  6. Step 6: Final answer
    x = 4,524.20

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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.