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Finding the Fourth Proportional to 3,754.65, 5,181.42 and 2,262.63

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Solution

The fourth proportional to 3,754.65, 5,181.42 and 2,262.63 is: 3,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.65 : 5,181.42 = 2,262.63 : x
  2. Step 2: Convert to fraction form
    3,754.65/5,181.42 = 2,262.63/x
  3. Step 3: Cross multiply
    3,754.65x = 5,181.42 × 2,262.63
  4. Step 4: Simplify right side
    3,754.65x = 11,723,636.33
  5. Step 5: Solve for x
    x = 11,723,636.33/3,754.65
  6. Step 6: Final answer
    x = 3,122.43

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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.