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Finding the Fourth Proportional to 3,805.67, 5,251.69 and 2,212.45

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Solution

The fourth proportional to 3,805.67, 5,251.69 and 2,212.45 is: 3,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.67 : 5,251.69 = 2,212.45 : x
  2. Step 2: Convert to fraction form
    3,805.67/5,251.69 = 2,212.45/x
  3. Step 3: Cross multiply
    3,805.67x = 5,251.69 × 2,212.45
  4. Step 4: Simplify right side
    3,805.67x = 11,619,075.28
  5. Step 5: Solve for x
    x = 11,619,075.28/3,805.67
  6. Step 6: Final answer
    x = 3,053.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.