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Finding the Fourth Proportional to 3,408.68, 5,114.28 and 2,323.28

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Solution

The fourth proportional to 3,408.68, 5,114.28 and 2,323.28 is: 3,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.68 : 5,114.28 = 2,323.28 : x
  2. Step 2: Convert to fraction form
    3,408.68/5,114.28 = 2,323.28/x
  3. Step 3: Cross multiply
    3,408.68x = 5,114.28 × 2,323.28
  4. Step 4: Simplify right side
    3,408.68x = 11,881,904.44
  5. Step 5: Solve for x
    x = 11,881,904.44/3,408.68
  6. Step 6: Final answer
    x = 3,485.78

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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.