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Finding the Fourth Proportional to 3,595.54, 4,961.84 and 2,023.64

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Solution

The fourth proportional to 3,595.54, 4,961.84 and 2,023.64 is: 2,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.54 : 4,961.84 = 2,023.64 : x
  2. Step 2: Convert to fraction form
    3,595.54/4,961.84 = 2,023.64/x
  3. Step 3: Cross multiply
    3,595.54x = 4,961.84 × 2,023.64
  4. Step 4: Simplify right side
    3,595.54x = 10,040,942.97
  5. Step 5: Solve for x
    x = 10,040,942.97/3,595.54
  6. Step 6: Final answer
    x = 2,792.61

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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.