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Finding the Fourth Proportional to 5,769.91, 7,961.81 and 3,533.09

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Solution

The fourth proportional to 5,769.91, 7,961.81 and 3,533.09 is: 4,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.91 : 7,961.81 = 3,533.09 : x
  2. Step 2: Convert to fraction form
    5,769.91/7,961.81 = 3,533.09/x
  3. Step 3: Cross multiply
    5,769.91x = 7,961.81 × 3,533.09
  4. Step 4: Simplify right side
    5,769.91x = 28,129,793.53
  5. Step 5: Solve for x
    x = 28,129,793.53/5,769.91
  6. Step 6: Final answer
    x = 4,875.26

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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.