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Finding the Fourth Proportional to 5,769.52, 7,961.97 and 3,285.52

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Solution

The fourth proportional to 5,769.52, 7,961.97 and 3,285.52 is: 4,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.52 : 7,961.97 = 3,285.52 : x
  2. Step 2: Convert to fraction form
    5,769.52/7,961.97 = 3,285.52/x
  3. Step 3: Cross multiply
    5,769.52x = 7,961.97 × 3,285.52
  4. Step 4: Simplify right side
    5,769.52x = 26,159,211.67
  5. Step 5: Solve for x
    x = 26,159,211.67/5,769.52
  6. Step 6: Final answer
    x = 4,534.04

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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.