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Finding the Fourth Proportional to 5,769.13, 8,645.69 and 3,298.73

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Solution

The fourth proportional to 5,769.13, 8,645.69 and 3,298.73 is: 4,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.13 : 8,645.69 = 3,298.73 : x
  2. Step 2: Convert to fraction form
    5,769.13/8,645.69 = 3,298.73/x
  3. Step 3: Cross multiply
    5,769.13x = 8,645.69 × 3,298.73
  4. Step 4: Simplify right side
    5,769.13x = 28,519,737.25
  5. Step 5: Solve for x
    x = 28,519,737.25/5,769.13
  6. Step 6: Final answer
    x = 4,943.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.