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Finding the Fourth Proportional to 3,402.56, 5,104.71 and 1,427.12

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Solution

The fourth proportional to 3,402.56, 5,104.71 and 1,427.12 is: 2,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.56 : 5,104.71 = 1,427.12 : x
  2. Step 2: Convert to fraction form
    3,402.56/5,104.71 = 1,427.12/x
  3. Step 3: Cross multiply
    3,402.56x = 5,104.71 × 1,427.12
  4. Step 4: Simplify right side
    3,402.56x = 7,285,033.74
  5. Step 5: Solve for x
    x = 7,285,033.74/3,402.56
  6. Step 6: Final answer
    x = 2,141.04

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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.