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Finding the Fourth Proportional to 3,806.73, 5,709.69 and 1,209.47

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Solution

The fourth proportional to 3,806.73, 5,709.69 and 1,209.47 is: 1,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.73 : 5,709.69 = 1,209.47 : x
  2. Step 2: Convert to fraction form
    3,806.73/5,709.69 = 1,209.47/x
  3. Step 3: Cross multiply
    3,806.73x = 5,709.69 × 1,209.47
  4. Step 4: Simplify right side
    3,806.73x = 6,905,670.22
  5. Step 5: Solve for x
    x = 6,905,670.22/3,806.73
  6. Step 6: Final answer
    x = 1,814.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.