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Finding the Fourth Proportional to 5,769.48, 7,961.98 and 3,380.86

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Solution

The fourth proportional to 5,769.48, 7,961.98 and 3,380.86 is: 4,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.48 : 7,961.98 = 3,380.86 : x
  2. Step 2: Convert to fraction form
    5,769.48/7,961.98 = 3,380.86/x
  3. Step 3: Cross multiply
    5,769.48x = 7,961.98 × 3,380.86
  4. Step 4: Simplify right side
    5,769.48x = 26,918,302.76
  5. Step 5: Solve for x
    x = 26,918,302.76/5,769.48
  6. Step 6: Final answer
    x = 4,665.64

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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.