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Finding the Fourth Proportional to 5,755.25, 7,942.05 and 3,237.44

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Solution

The fourth proportional to 5,755.25, 7,942.05 and 3,237.44 is: 4,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.25 : 7,942.05 = 3,237.44 : x
  2. Step 2: Convert to fraction form
    5,755.25/7,942.05 = 3,237.44/x
  3. Step 3: Cross multiply
    5,755.25x = 7,942.05 × 3,237.44
  4. Step 4: Simplify right side
    5,755.25x = 25,711,870.64
  5. Step 5: Solve for x
    x = 25,711,870.64/5,755.25
  6. Step 6: Final answer
    x = 4,467.55

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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.