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Finding the Fourth Proportional to 5,668.59, 7,822.65 and 3,278.89

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Solution

The fourth proportional to 5,668.59, 7,822.65 and 3,278.89 is: 4,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.59 : 7,822.65 = 3,278.89 : x
  2. Step 2: Convert to fraction form
    5,668.59/7,822.65 = 3,278.89/x
  3. Step 3: Cross multiply
    5,668.59x = 7,822.65 × 3,278.89
  4. Step 4: Simplify right side
    5,668.59x = 25,649,608.86
  5. Step 5: Solve for x
    x = 25,649,608.86/5,668.59
  6. Step 6: Final answer
    x = 4,524.87

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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.