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Finding the Fourth Proportional to 3,805.38, 5,709.15 and 1,208.52

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Solution

The fourth proportional to 3,805.38, 5,709.15 and 1,208.52 is: 1,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.38 : 5,709.15 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    3,805.38/5,709.15 = 1,208.52/x
  3. Step 3: Cross multiply
    3,805.38x = 5,709.15 × 1,208.52
  4. Step 4: Simplify right side
    3,805.38x = 6,899,621.96
  5. Step 5: Solve for x
    x = 6,899,621.96/3,805.38
  6. Step 6: Final answer
    x = 1,813.12

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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.