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Finding the Fourth Proportional to 5,965.14, 8,232.17 and 3,447.58

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Solution

The fourth proportional to 5,965.14, 8,232.17 and 3,447.58 is: 4,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.14 : 8,232.17 = 3,447.58 : x
  2. Step 2: Convert to fraction form
    5,965.14/8,232.17 = 3,447.58/x
  3. Step 3: Cross multiply
    5,965.14x = 8,232.17 × 3,447.58
  4. Step 4: Simplify right side
    5,965.14x = 28,381,064.65
  5. Step 5: Solve for x
    x = 28,381,064.65/5,965.14
  6. Step 6: Final answer
    x = 4,757.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.