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Finding the Fourth Proportional to 4,093, 5,648.40 and 2,230

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Solution

The fourth proportional to 4,093, 5,648.40 and 2,230 is: 3,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093 : 5,648.40 = 2,230 : x
  2. Step 2: Convert to fraction form
    4,093/5,648.40 = 2,230/x
  3. Step 3: Cross multiply
    4,093x = 5,648.40 × 2,230
  4. Step 4: Simplify right side
    4,093x = 12,595,932
  5. Step 5: Solve for x
    x = 12,595,932/4,093
  6. Step 6: Final answer
    x = 3,077.43

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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.