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Finding the Fourth Proportional to 4,198.79, 5,793.91 and 2,430.96

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Solution

The fourth proportional to 4,198.79, 5,793.91 and 2,430.96 is: 3,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.79 : 5,793.91 = 2,430.96 : x
  2. Step 2: Convert to fraction form
    4,198.79/5,793.91 = 2,430.96/x
  3. Step 3: Cross multiply
    4,198.79x = 5,793.91 × 2,430.96
  4. Step 4: Simplify right side
    4,198.79x = 14,084,757.38
  5. Step 5: Solve for x
    x = 14,084,757.38/4,198.79
  6. Step 6: Final answer
    x = 3,354.48

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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.