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Finding the Fourth Proportional to 5,668.16, 7,822.48 and 3,278.48

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Solution

The fourth proportional to 5,668.16, 7,822.48 and 3,278.48 is: 4,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.16 : 7,822.48 = 3,278.48 : x
  2. Step 2: Convert to fraction form
    5,668.16/7,822.48 = 3,278.48/x
  3. Step 3: Cross multiply
    5,668.16x = 7,822.48 × 3,278.48
  4. Step 4: Simplify right side
    5,668.16x = 25,645,844.23
  5. Step 5: Solve for x
    x = 25,645,844.23/5,668.16
  6. Step 6: Final answer
    x = 4,524.54

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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.