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Finding the Fourth Proportional to 3,382.12, 5,072.76 and 1,434.08

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Solution

The fourth proportional to 3,382.12, 5,072.76 and 1,434.08 is: 2,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.12 : 5,072.76 = 1,434.08 : x
  2. Step 2: Convert to fraction form
    3,382.12/5,072.76 = 1,434.08/x
  3. Step 3: Cross multiply
    3,382.12x = 5,072.76 × 1,434.08
  4. Step 4: Simplify right side
    3,382.12x = 7,274,743.66
  5. Step 5: Solve for x
    x = 7,274,743.66/3,382.12
  6. Step 6: Final answer
    x = 2,150.94

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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.