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Finding the Fourth Proportional to 3,399.72, 5,101.79 and 1,208.47

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Solution

The fourth proportional to 3,399.72, 5,101.79 and 1,208.47 is: 1,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.72 : 5,101.79 = 1,208.47 : x
  2. Step 2: Convert to fraction form
    3,399.72/5,101.79 = 1,208.47/x
  3. Step 3: Cross multiply
    3,399.72x = 5,101.79 × 1,208.47
  4. Step 4: Simplify right side
    3,399.72x = 6,165,350.93
  5. Step 5: Solve for x
    x = 6,165,350.93/3,399.72
  6. Step 6: Final answer
    x = 1,813.49

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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.