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Finding the Fourth Proportional to 4,093.78, 5,649.42 and 2,230.78

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Solution

The fourth proportional to 4,093.78, 5,649.42 and 2,230.78 is: 3,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.78 : 5,649.42 = 2,230.78 : x
  2. Step 2: Convert to fraction form
    4,093.78/5,649.42 = 2,230.78/x
  3. Step 3: Cross multiply
    4,093.78x = 5,649.42 × 2,230.78
  4. Step 4: Simplify right side
    4,093.78x = 12,602,613.15
  5. Step 5: Solve for x
    x = 12,602,613.15/4,093.78
  6. Step 6: Final answer
    x = 3,078.48

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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.