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Finding the Fourth Proportional to 6,493.26, 8,961.69 and 3,841.53

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Solution

The fourth proportional to 6,493.26, 8,961.69 and 3,841.53 is: 5,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.26 : 8,961.69 = 3,841.53 : x
  2. Step 2: Convert to fraction form
    6,493.26/8,961.69 = 3,841.53/x
  3. Step 3: Cross multiply
    6,493.26x = 8,961.69 × 3,841.53
  4. Step 4: Simplify right side
    6,493.26x = 34,426,560.18
  5. Step 5: Solve for x
    x = 34,426,560.18/6,493.26
  6. Step 6: Final answer
    x = 5,301.89

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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.