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Finding the Fourth Proportional to 4,842.75, 7,266.75 and 3,749.25

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Solution

The fourth proportional to 4,842.75, 7,266.75 and 3,749.25 is: 5,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.75 : 7,266.75 = 3,749.25 : x
  2. Step 2: Convert to fraction form
    4,842.75/7,266.75 = 3,749.25/x
  3. Step 3: Cross multiply
    4,842.75x = 7,266.75 × 3,749.25
  4. Step 4: Simplify right side
    4,842.75x = 27,244,862.44
  5. Step 5: Solve for x
    x = 27,244,862.44/4,842.75
  6. Step 6: Final answer
    x = 5,625.91

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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.