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Finding the Fourth Proportional to 3,461.80, 5,192.70 and 3,310.60

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Solution

The fourth proportional to 3,461.80, 5,192.70 and 3,310.60 is: 4,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.80 : 5,192.70 = 3,310.60 : x
  2. Step 2: Convert to fraction form
    3,461.80/5,192.70 = 3,310.60/x
  3. Step 3: Cross multiply
    3,461.80x = 5,192.70 × 3,310.60
  4. Step 4: Simplify right side
    3,461.80x = 17,190,952.62
  5. Step 5: Solve for x
    x = 17,190,952.62/3,461.80
  6. Step 6: Final answer
    x = 4,965.90

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Similar ratio
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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.