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Finding the Fourth Proportional to 5,682.59, 7,841.97 and 3,324.27

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Solution

The fourth proportional to 5,682.59, 7,841.97 and 3,324.27 is: 4,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.59 : 7,841.97 = 3,324.27 : x
  2. Step 2: Convert to fraction form
    5,682.59/7,841.97 = 3,324.27/x
  3. Step 3: Cross multiply
    5,682.59x = 7,841.97 × 3,324.27
  4. Step 4: Simplify right side
    5,682.59x = 26,068,825.61
  5. Step 5: Solve for x
    x = 26,068,825.61/5,682.59
  6. Step 6: Final answer
    x = 4,587.49

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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.