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Finding the Fourth Proportional to 3,682.52, 5,083.98 and 2,427.23

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Solution

The fourth proportional to 3,682.52, 5,083.98 and 2,427.23 is: 3,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.52 : 5,083.98 = 2,427.23 : x
  2. Step 2: Convert to fraction form
    3,682.52/5,083.98 = 2,427.23/x
  3. Step 3: Cross multiply
    3,682.52x = 5,083.98 × 2,427.23
  4. Step 4: Simplify right side
    3,682.52x = 12,339,988.78
  5. Step 5: Solve for x
    x = 12,339,988.78/3,682.52
  6. Step 6: Final answer
    x = 3,350.96

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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.