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Finding the Fourth Proportional to 3,375.75, 4,658.69 and 2,257.14

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Solution

The fourth proportional to 3,375.75, 4,658.69 and 2,257.14 is: 3,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.75 : 4,658.69 = 2,257.14 : x
  2. Step 2: Convert to fraction form
    3,375.75/4,658.69 = 2,257.14/x
  3. Step 3: Cross multiply
    3,375.75x = 4,658.69 × 2,257.14
  4. Step 4: Simplify right side
    3,375.75x = 10,515,315.55
  5. Step 5: Solve for x
    x = 10,515,315.55/3,375.75
  6. Step 6: Final answer
    x = 3,114.96

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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.