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Finding the Fourth Proportional to 3,684.70, 5,084.79 and 2,006.14

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Solution

The fourth proportional to 3,684.70, 5,084.79 and 2,006.14 is: 2,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.70 : 5,084.79 = 2,006.14 : x
  2. Step 2: Convert to fraction form
    3,684.70/5,084.79 = 2,006.14/x
  3. Step 3: Cross multiply
    3,684.70x = 5,084.79 × 2,006.14
  4. Step 4: Simplify right side
    3,684.70x = 10,200,800.61
  5. Step 5: Solve for x
    x = 10,200,800.61/3,684.70
  6. Step 6: Final answer
    x = 2,768.42

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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.