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Finding the Fourth Proportional to 5,769.72, 7,962.12 and 3,252.06

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Solution

The fourth proportional to 5,769.72, 7,962.12 and 3,252.06 is: 4,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.72 : 7,962.12 = 3,252.06 : x
  2. Step 2: Convert to fraction form
    5,769.72/7,962.12 = 3,252.06/x
  3. Step 3: Cross multiply
    5,769.72x = 7,962.12 × 3,252.06
  4. Step 4: Simplify right side
    5,769.72x = 25,893,291.97
  5. Step 5: Solve for x
    x = 25,893,291.97/5,769.72
  6. Step 6: Final answer
    x = 4,487.79

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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.