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Finding the Fourth Proportional to 5,747.70, 8,609.73 and 3,400.59

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Solution

The fourth proportional to 5,747.70, 8,609.73 and 3,400.59 is: 5,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.70 : 8,609.73 = 3,400.59 : x
  2. Step 2: Convert to fraction form
    5,747.70/8,609.73 = 3,400.59/x
  3. Step 3: Cross multiply
    5,747.70x = 8,609.73 × 3,400.59
  4. Step 4: Simplify right side
    5,747.70x = 29,278,161.74
  5. Step 5: Solve for x
    x = 29,278,161.74/5,747.70
  6. Step 6: Final answer
    x = 5,093.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.