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Finding the Fourth Proportional to 4,273.56, 6,409.80 and 2,538

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Solution

The fourth proportional to 4,273.56, 6,409.80 and 2,538 is: 3,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.56 : 6,409.80 = 2,538 : x
  2. Step 2: Convert to fraction form
    4,273.56/6,409.80 = 2,538/x
  3. Step 3: Cross multiply
    4,273.56x = 6,409.80 × 2,538
  4. Step 4: Simplify right side
    4,273.56x = 16,268,072.40
  5. Step 5: Solve for x
    x = 16,268,072.40/4,273.56
  6. Step 6: Final answer
    x = 3,806.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.