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Finding the Fourth Proportional to 3,755.90, 5,628.38 and 1,805.82

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Solution

The fourth proportional to 3,755.90, 5,628.38 and 1,805.82 is: 2,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.90 : 5,628.38 = 1,805.82 : x
  2. Step 2: Convert to fraction form
    3,755.90/5,628.38 = 1,805.82/x
  3. Step 3: Cross multiply
    3,755.90x = 5,628.38 × 1,805.82
  4. Step 4: Simplify right side
    3,755.90x = 10,163,841.17
  5. Step 5: Solve for x
    x = 10,163,841.17/3,755.90
  6. Step 6: Final answer
    x = 2,706.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.