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Finding the Fourth Proportional to 3,754.29, 5,180.89 and 2,075.66

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Solution

The fourth proportional to 3,754.29, 5,180.89 and 2,075.66 is: 2,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.29 : 5,180.89 = 2,075.66 : x
  2. Step 2: Convert to fraction form
    3,754.29/5,180.89 = 2,075.66/x
  3. Step 3: Cross multiply
    3,754.29x = 5,180.89 × 2,075.66
  4. Step 4: Simplify right side
    3,754.29x = 10,753,766.14
  5. Step 5: Solve for x
    x = 10,753,766.14/3,754.29
  6. Step 6: Final answer
    x = 2,864.39

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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.