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Finding the Fourth Proportional to 3,754.49, 5,180.47 and 2,262.50

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Solution

The fourth proportional to 3,754.49, 5,180.47 and 2,262.50 is: 3,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.49 : 5,180.47 = 2,262.50 : x
  2. Step 2: Convert to fraction form
    3,754.49/5,180.47 = 2,262.50/x
  3. Step 3: Cross multiply
    3,754.49x = 5,180.47 × 2,262.50
  4. Step 4: Simplify right side
    3,754.49x = 11,720,813.38
  5. Step 5: Solve for x
    x = 11,720,813.38/3,754.49
  6. Step 6: Final answer
    x = 3,121.81

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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.