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Finding the Fourth Proportional to 5,682.72, 7,841.31 and 3,259.74

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Solution

The fourth proportional to 5,682.72, 7,841.31 and 3,259.74 is: 4,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.72 : 7,841.31 = 3,259.74 : x
  2. Step 2: Convert to fraction form
    5,682.72/7,841.31 = 3,259.74/x
  3. Step 3: Cross multiply
    5,682.72x = 7,841.31 × 3,259.74
  4. Step 4: Simplify right side
    5,682.72x = 25,560,631.86
  5. Step 5: Solve for x
    x = 25,560,631.86/5,682.72
  6. Step 6: Final answer
    x = 4,497.96

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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.