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Finding the Fourth Proportional to 3,467, 5,198.88 and 1,156.88

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Solution

The fourth proportional to 3,467, 5,198.88 and 1,156.88 is: 1,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467 : 5,198.88 = 1,156.88 : x
  2. Step 2: Convert to fraction form
    3,467/5,198.88 = 1,156.88/x
  3. Step 3: Cross multiply
    3,467x = 5,198.88 × 1,156.88
  4. Step 4: Simplify right side
    3,467x = 6,014,480.29
  5. Step 5: Solve for x
    x = 6,014,480.29/3,467
  6. Step 6: Final answer
    x = 1,734.78

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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.