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Finding the Fourth Proportional to 3,809.42, 5,713.10 and 1,469.74

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Solution

The fourth proportional to 3,809.42, 5,713.10 and 1,469.74 is: 2,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.42 : 5,713.10 = 1,469.74 : x
  2. Step 2: Convert to fraction form
    3,809.42/5,713.10 = 1,469.74/x
  3. Step 3: Cross multiply
    3,809.42x = 5,713.10 × 1,469.74
  4. Step 4: Simplify right side
    3,809.42x = 8,396,771.59
  5. Step 5: Solve for x
    x = 8,396,771.59/3,809.42
  6. Step 6: Final answer
    x = 2,204.21

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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.