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Finding the Fourth Proportional to 3,447.54, 5,170.16 and 1,106.97

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Solution

The fourth proportional to 3,447.54, 5,170.16 and 1,106.97 is: 1,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.54 : 5,170.16 = 1,106.97 : x
  2. Step 2: Convert to fraction form
    3,447.54/5,170.16 = 1,106.97/x
  3. Step 3: Cross multiply
    3,447.54x = 5,170.16 × 1,106.97
  4. Step 4: Simplify right side
    3,447.54x = 5,723,225.87
  5. Step 5: Solve for x
    x = 5,723,225.87/3,447.54
  6. Step 6: Final answer
    x = 1,660.09

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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.