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Finding the Fourth Proportional to 3,673.85, 5,066.19 and 3,144.49

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Solution

The fourth proportional to 3,673.85, 5,066.19 and 3,144.49 is: 4,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.85 : 5,066.19 = 3,144.49 : x
  2. Step 2: Convert to fraction form
    3,673.85/5,066.19 = 3,144.49/x
  3. Step 3: Cross multiply
    3,673.85x = 5,066.19 × 3,144.49
  4. Step 4: Simplify right side
    3,673.85x = 15,930,583.79
  5. Step 5: Solve for x
    x = 15,930,583.79/3,673.85
  6. Step 6: Final answer
    x = 4,336.21

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1.5x scale

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.