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Finding the Fourth Proportional to 4,172.40, 5,757.78 and 2,404.38

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Solution

The fourth proportional to 4,172.40, 5,757.78 and 2,404.38 is: 3,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.40 : 5,757.78 = 2,404.38 : x
  2. Step 2: Convert to fraction form
    4,172.40/5,757.78 = 2,404.38/x
  3. Step 3: Cross multiply
    4,172.40x = 5,757.78 × 2,404.38
  4. Step 4: Simplify right side
    4,172.40x = 13,843,891.08
  5. Step 5: Solve for x
    x = 13,843,891.08/4,172.40
  6. Step 6: Final answer
    x = 3,317.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.