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Finding the Fourth Proportional to 3,584.46, 5,370.81 and 3,447.78

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Solution

The fourth proportional to 3,584.46, 5,370.81 and 3,447.78 is: 5,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.46 : 5,370.81 = 3,447.78 : x
  2. Step 2: Convert to fraction form
    3,584.46/5,370.81 = 3,447.78/x
  3. Step 3: Cross multiply
    3,584.46x = 5,370.81 × 3,447.78
  4. Step 4: Simplify right side
    3,584.46x = 18,517,371.30
  5. Step 5: Solve for x
    x = 18,517,371.30/3,584.46
  6. Step 6: Final answer
    x = 5,166.01

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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.