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Finding the Fourth Proportional to 3,706.20, 5,198.40 and 3,706.20

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Solution

The fourth proportional to 3,706.20, 5,198.40 and 3,706.20 is: 5,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.20 : 5,198.40 = 3,706.20 : x
  2. Step 2: Convert to fraction form
    3,706.20/5,198.40 = 3,706.20/x
  3. Step 3: Cross multiply
    3,706.20x = 5,198.40 × 3,706.20
  4. Step 4: Simplify right side
    3,706.20x = 19,266,310.08
  5. Step 5: Solve for x
    x = 19,266,310.08/3,706.20
  6. Step 6: Final answer
    x = 5,198.40

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.