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Finding the Fourth Proportional to 3,754.14, 5,627.43 and 1,675.23

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Solution

The fourth proportional to 3,754.14, 5,627.43 and 1,675.23 is: 2,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.14 : 5,627.43 = 1,675.23 : x
  2. Step 2: Convert to fraction form
    3,754.14/5,627.43 = 1,675.23/x
  3. Step 3: Cross multiply
    3,754.14x = 5,627.43 × 1,675.23
  4. Step 4: Simplify right side
    3,754.14x = 9,427,239.56
  5. Step 5: Solve for x
    x = 9,427,239.56/3,754.14
  6. Step 6: Final answer
    x = 2,511.16

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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.