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Finding the Fourth Proportional to 5,735.89, 8,604.74 and 2,449

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Solution

The fourth proportional to 5,735.89, 8,604.74 and 2,449 is: 3,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.89 : 8,604.74 = 2,449 : x
  2. Step 2: Convert to fraction form
    5,735.89/8,604.74 = 2,449/x
  3. Step 3: Cross multiply
    5,735.89x = 8,604.74 × 2,449
  4. Step 4: Simplify right side
    5,735.89x = 21,073,008.26
  5. Step 5: Solve for x
    x = 21,073,008.26/5,735.89
  6. Step 6: Final answer
    x = 3,673.89

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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.