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Finding the Fourth Proportional to 3,754.30, 5,628.56 and 1,414.26

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Solution

The fourth proportional to 3,754.30, 5,628.56 and 1,414.26 is: 2,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.30 : 5,628.56 = 1,414.26 : x
  2. Step 2: Convert to fraction form
    3,754.30/5,628.56 = 1,414.26/x
  3. Step 3: Cross multiply
    3,754.30x = 5,628.56 × 1,414.26
  4. Step 4: Simplify right side
    3,754.30x = 7,960,247.27
  5. Step 5: Solve for x
    x = 7,960,247.27/3,754.30
  6. Step 6: Final answer
    x = 2,120.30

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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.