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Finding the Fourth Proportional to 5,706.39, 7,874.79 and 3,222.39

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Solution

The fourth proportional to 5,706.39, 7,874.79 and 3,222.39 is: 4,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.39 : 7,874.79 = 3,222.39 : x
  2. Step 2: Convert to fraction form
    5,706.39/7,874.79 = 3,222.39/x
  3. Step 3: Cross multiply
    5,706.39x = 7,874.79 × 3,222.39
  4. Step 4: Simplify right side
    5,706.39x = 25,375,644.55
  5. Step 5: Solve for x
    x = 25,375,644.55/5,706.39
  6. Step 6: Final answer
    x = 4,446.88

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Half scale
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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.