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Finding the Fourth Proportional to 5,793.85, 7,996.62 and 3,437.29

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Solution

The fourth proportional to 5,793.85, 7,996.62 and 3,437.29 is: 4,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.85 : 7,996.62 = 3,437.29 : x
  2. Step 2: Convert to fraction form
    5,793.85/7,996.62 = 3,437.29/x
  3. Step 3: Cross multiply
    5,793.85x = 7,996.62 × 3,437.29
  4. Step 4: Simplify right side
    5,793.85x = 27,486,701.96
  5. Step 5: Solve for x
    x = 27,486,701.96/5,793.85
  6. Step 6: Final answer
    x = 4,744.12

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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.