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Finding the Fourth Proportional to 6,493.50, 8,961.03 and 3,699

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Solution

The fourth proportional to 6,493.50, 8,961.03 and 3,699 is: 5,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.50 : 8,961.03 = 3,699 : x
  2. Step 2: Convert to fraction form
    6,493.50/8,961.03 = 3,699/x
  3. Step 3: Cross multiply
    6,493.50x = 8,961.03 × 3,699
  4. Step 4: Simplify right side
    6,493.50x = 33,146,849.97
  5. Step 5: Solve for x
    x = 33,146,849.97/6,493.50
  6. Step 6: Final answer
    x = 5,104.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.