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Finding the Fourth Proportional to 6,453.75, 9,680.68 and 2,754.08

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Solution

The fourth proportional to 6,453.75, 9,680.68 and 2,754.08 is: 4,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.75 : 9,680.68 = 2,754.08 : x
  2. Step 2: Convert to fraction form
    6,453.75/9,680.68 = 2,754.08/x
  3. Step 3: Cross multiply
    6,453.75x = 9,680.68 × 2,754.08
  4. Step 4: Simplify right side
    6,453.75x = 26,661,367.17
  5. Step 5: Solve for x
    x = 26,661,367.17/6,453.75
  6. Step 6: Final answer
    x = 4,131.14

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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.