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Finding the Fourth Proportional to 5,769.92, 7,910.60 and 5,664.84

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Solution

The fourth proportional to 5,769.92, 7,910.60 and 5,664.84 is: 7,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.92 : 7,910.60 = 5,664.84 : x
  2. Step 2: Convert to fraction form
    5,769.92/7,910.60 = 5,664.84/x
  3. Step 3: Cross multiply
    5,769.92x = 7,910.60 × 5,664.84
  4. Step 4: Simplify right side
    5,769.92x = 44,812,283.30
  5. Step 5: Solve for x
    x = 44,812,283.30/5,769.92
  6. Step 6: Final answer
    x = 7,766.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.