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Finding the Fourth Proportional to 3,402.28, 5,103.48 and 1,427.48

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Solution

The fourth proportional to 3,402.28, 5,103.48 and 1,427.48 is: 2,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.28 : 5,103.48 = 1,427.48 : x
  2. Step 2: Convert to fraction form
    3,402.28/5,103.48 = 1,427.48/x
  3. Step 3: Cross multiply
    3,402.28x = 5,103.48 × 1,427.48
  4. Step 4: Simplify right side
    3,402.28x = 7,285,115.63
  5. Step 5: Solve for x
    x = 7,285,115.63/3,402.28
  6. Step 6: Final answer
    x = 2,141.25

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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.