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Finding the Fourth Proportional to 3,684.34, 5,084.34 and 2,005.73

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Solution

The fourth proportional to 3,684.34, 5,084.34 and 2,005.73 is: 2,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.34 : 5,084.34 = 2,005.73 : x
  2. Step 2: Convert to fraction form
    3,684.34/5,084.34 = 2,005.73/x
  3. Step 3: Cross multiply
    3,684.34x = 5,084.34 × 2,005.73
  4. Step 4: Simplify right side
    3,684.34x = 10,197,813.27
  5. Step 5: Solve for x
    x = 10,197,813.27/3,684.34
  6. Step 6: Final answer
    x = 2,767.88

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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.