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Finding the Fourth Proportional to 3,673.65, 5,511.31 and 1,208.72

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Solution

The fourth proportional to 3,673.65, 5,511.31 and 1,208.72 is: 1,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.65 : 5,511.31 = 1,208.72 : x
  2. Step 2: Convert to fraction form
    3,673.65/5,511.31 = 1,208.72/x
  3. Step 3: Cross multiply
    3,673.65x = 5,511.31 × 1,208.72
  4. Step 4: Simplify right side
    3,673.65x = 6,661,641.38
  5. Step 5: Solve for x
    x = 6,661,641.38/3,673.65
  6. Step 6: Final answer
    x = 1,813.36

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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.