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Finding the Fourth Proportional to 3,846.59, 5,772.32 and 2,206.34

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Solution

The fourth proportional to 3,846.59, 5,772.32 and 2,206.34 is: 3,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.59 : 5,772.32 = 2,206.34 : x
  2. Step 2: Convert to fraction form
    3,846.59/5,772.32 = 2,206.34/x
  3. Step 3: Cross multiply
    3,846.59x = 5,772.32 × 2,206.34
  4. Step 4: Simplify right side
    3,846.59x = 12,735,660.62
  5. Step 5: Solve for x
    x = 12,735,660.62/3,846.59
  6. Step 6: Final answer
    x = 3,310.90

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1.5x scale

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.