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Finding the Fourth Proportional to 3,425.97, 5,138.94 and 1,234.69

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Solution

The fourth proportional to 3,425.97, 5,138.94 and 1,234.69 is: 1,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.97 : 5,138.94 = 1,234.69 : x
  2. Step 2: Convert to fraction form
    3,425.97/5,138.94 = 1,234.69/x
  3. Step 3: Cross multiply
    3,425.97x = 5,138.94 × 1,234.69
  4. Step 4: Simplify right side
    3,425.97x = 6,344,989.61
  5. Step 5: Solve for x
    x = 6,344,989.61/3,425.97
  6. Step 6: Final answer
    x = 1,852.03

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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.