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Finding the Fourth Proportional to 5,760.69, 7,949.16 and 3,523.11

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Solution

The fourth proportional to 5,760.69, 7,949.16 and 3,523.11 is: 4,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.69 : 7,949.16 = 3,523.11 : x
  2. Step 2: Convert to fraction form
    5,760.69/7,949.16 = 3,523.11/x
  3. Step 3: Cross multiply
    5,760.69x = 7,949.16 × 3,523.11
  4. Step 4: Simplify right side
    5,760.69x = 28,005,765.09
  5. Step 5: Solve for x
    x = 28,005,765.09/5,760.69
  6. Step 6: Final answer
    x = 4,861.53

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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.