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Finding the Fourth Proportional to 3,823.52, 5,273.73 and 3,254.90

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Solution

The fourth proportional to 3,823.52, 5,273.73 and 3,254.90 is: 4,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.52 : 5,273.73 = 3,254.90 : x
  2. Step 2: Convert to fraction form
    3,823.52/5,273.73 = 3,254.90/x
  3. Step 3: Cross multiply
    3,823.52x = 5,273.73 × 3,254.90
  4. Step 4: Simplify right side
    3,823.52x = 17,165,437.41
  5. Step 5: Solve for x
    x = 17,165,437.41/3,823.52
  6. Step 6: Final answer
    x = 4,489.44

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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.