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Finding the Fourth Proportional to 3,763.49, 5,628.83 and 2,199.78

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Solution

The fourth proportional to 3,763.49, 5,628.83 and 2,199.78 is: 3,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.49 : 5,628.83 = 2,199.78 : x
  2. Step 2: Convert to fraction form
    3,763.49/5,628.83 = 2,199.78/x
  3. Step 3: Cross multiply
    3,763.49x = 5,628.83 × 2,199.78
  4. Step 4: Simplify right side
    3,763.49x = 12,382,196.23
  5. Step 5: Solve for x
    x = 12,382,196.23/3,763.49
  6. Step 6: Final answer
    x = 3,290.09

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