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Finding the Fourth Proportional to 2,949.89, 4,404.21 and 2,537.33

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Solution

The fourth proportional to 2,949.89, 4,404.21 and 2,537.33 is: 3,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.89 : 4,404.21 = 2,537.33 : x
  2. Step 2: Convert to fraction form
    2,949.89/4,404.21 = 2,537.33/x
  3. Step 3: Cross multiply
    2,949.89x = 4,404.21 × 2,537.33
  4. Step 4: Simplify right side
    2,949.89x = 11,174,902.62
  5. Step 5: Solve for x
    x = 11,174,902.62/2,949.89
  6. Step 6: Final answer
    x = 3,788.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.