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Finding the Fourth Proportional to 5,682.27, 7,841.53 and 3,324.87

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Solution

The fourth proportional to 5,682.27, 7,841.53 and 3,324.87 is: 4,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.27 : 7,841.53 = 3,324.87 : x
  2. Step 2: Convert to fraction form
    5,682.27/7,841.53 = 3,324.87/x
  3. Step 3: Cross multiply
    5,682.27x = 7,841.53 × 3,324.87
  4. Step 4: Simplify right side
    5,682.27x = 26,072,012.02
  5. Step 5: Solve for x
    x = 26,072,012.02/5,682.27
  6. Step 6: Final answer
    x = 4,588.31

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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.