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Finding the Fourth Proportional to 3,674.31, 5,511.54 and 1,209.08

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Solution

The fourth proportional to 3,674.31, 5,511.54 and 1,209.08 is: 1,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.31 : 5,511.54 = 1,209.08 : x
  2. Step 2: Convert to fraction form
    3,674.31/5,511.54 = 1,209.08/x
  3. Step 3: Cross multiply
    3,674.31x = 5,511.54 × 1,209.08
  4. Step 4: Simplify right side
    3,674.31x = 6,663,880.09
  5. Step 5: Solve for x
    x = 6,663,880.09/3,674.31
  6. Step 6: Final answer
    x = 1,813.64

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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.