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Finding the Fourth Proportional to 5,755.57, 7,942.17 and 3,236.88

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Solution

The fourth proportional to 5,755.57, 7,942.17 and 3,236.88 is: 4,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.57 : 7,942.17 = 3,236.88 : x
  2. Step 2: Convert to fraction form
    5,755.57/7,942.17 = 3,236.88/x
  3. Step 3: Cross multiply
    5,755.57x = 7,942.17 × 3,236.88
  4. Step 4: Simplify right side
    5,755.57x = 25,707,851.23
  5. Step 5: Solve for x
    x = 25,707,851.23/5,755.57
  6. Step 6: Final answer
    x = 4,466.60

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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.