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Finding the Fourth Proportional to 3,754.12, 5,632.02 and 1,414.16

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Solution

The fourth proportional to 3,754.12, 5,632.02 and 1,414.16 is: 2,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.12 : 5,632.02 = 1,414.16 : x
  2. Step 2: Convert to fraction form
    3,754.12/5,632.02 = 1,414.16/x
  3. Step 3: Cross multiply
    3,754.12x = 5,632.02 × 1,414.16
  4. Step 4: Simplify right side
    3,754.12x = 7,964,577.40
  5. Step 5: Solve for x
    x = 7,964,577.40/3,754.12
  6. Step 6: Final answer
    x = 2,121.56

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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.