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Finding the Fourth Proportional to 3,402.26, 5,101.28 and 2,230.84

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Solution

The fourth proportional to 3,402.26, 5,101.28 and 2,230.84 is: 3,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.26 : 5,101.28 = 2,230.84 : x
  2. Step 2: Convert to fraction form
    3,402.26/5,101.28 = 2,230.84/x
  3. Step 3: Cross multiply
    3,402.26x = 5,101.28 × 2,230.84
  4. Step 4: Simplify right side
    3,402.26x = 11,380,102.81
  5. Step 5: Solve for x
    x = 11,380,102.81/3,402.26
  6. Step 6: Final answer
    x = 3,344.87

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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.