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Finding the Fourth Proportional to 3,806.49, 5,709.53 and 1,209.23

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Solution

The fourth proportional to 3,806.49, 5,709.53 and 1,209.23 is: 1,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.49 : 5,709.53 = 1,209.23 : x
  2. Step 2: Convert to fraction form
    3,806.49/5,709.53 = 1,209.23/x
  3. Step 3: Cross multiply
    3,806.49x = 5,709.53 × 1,209.23
  4. Step 4: Simplify right side
    3,806.49x = 6,904,106.41
  5. Step 5: Solve for x
    x = 6,904,106.41/3,806.49
  6. Step 6: Final answer
    x = 1,813.77

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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.