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Finding the Fourth Proportional to 3,685.54, 5,086.08 and 2,006.98

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Solution

The fourth proportional to 3,685.54, 5,086.08 and 2,006.98 is: 2,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.54 : 5,086.08 = 2,006.98 : x
  2. Step 2: Convert to fraction form
    3,685.54/5,086.08 = 2,006.98/x
  3. Step 3: Cross multiply
    3,685.54x = 5,086.08 × 2,006.98
  4. Step 4: Simplify right side
    3,685.54x = 10,207,660.84
  5. Step 5: Solve for x
    x = 10,207,660.84/3,685.54
  6. Step 6: Final answer
    x = 2,769.65

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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.