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Finding the Fourth Proportional to 4,829.72, 7,241.10 and 3,265.88

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Solution

The fourth proportional to 4,829.72, 7,241.10 and 3,265.88 is: 4,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.72 : 7,241.10 = 3,265.88 : x
  2. Step 2: Convert to fraction form
    4,829.72/7,241.10 = 3,265.88/x
  3. Step 3: Cross multiply
    4,829.72x = 7,241.10 × 3,265.88
  4. Step 4: Simplify right side
    4,829.72x = 23,648,563.67
  5. Step 5: Solve for x
    x = 23,648,563.67/4,829.72
  6. Step 6: Final answer
    x = 4,896.47

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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.