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Finding the Fourth Proportional to 3,675.07, 5,511.69 and 1,209.28

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Solution

The fourth proportional to 3,675.07, 5,511.69 and 1,209.28 is: 1,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.07 : 5,511.69 = 1,209.28 : x
  2. Step 2: Convert to fraction form
    3,675.07/5,511.69 = 1,209.28/x
  3. Step 3: Cross multiply
    3,675.07x = 5,511.69 × 1,209.28
  4. Step 4: Simplify right side
    3,675.07x = 6,665,176.48
  5. Step 5: Solve for x
    x = 6,665,176.48/3,675.07
  6. Step 6: Final answer
    x = 1,813.62

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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.