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Finding the Fourth Proportional to 5,743.74, 8,613.69 and 1,847.22

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Solution

The fourth proportional to 5,743.74, 8,613.69 and 1,847.22 is: 2,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.74 : 8,613.69 = 1,847.22 : x
  2. Step 2: Convert to fraction form
    5,743.74/8,613.69 = 1,847.22/x
  3. Step 3: Cross multiply
    5,743.74x = 8,613.69 × 1,847.22
  4. Step 4: Simplify right side
    5,743.74x = 15,911,380.44
  5. Step 5: Solve for x
    x = 15,911,380.44/5,743.74
  6. Step 6: Final answer
    x = 2,770.21

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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.