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Finding the Fourth Proportional to 3,672.57, 5,507.69 and 1,206.82

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Solution

The fourth proportional to 3,672.57, 5,507.69 and 1,206.82 is: 1,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.57 : 5,507.69 = 1,206.82 : x
  2. Step 2: Convert to fraction form
    3,672.57/5,507.69 = 1,206.82/x
  3. Step 3: Cross multiply
    3,672.57x = 5,507.69 × 1,206.82
  4. Step 4: Simplify right side
    3,672.57x = 6,646,791.30
  5. Step 5: Solve for x
    x = 6,646,791.30/3,672.57
  6. Step 6: Final answer
    x = 1,809.85

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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.