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Finding the Fourth Proportional to 3,408.30, 5,113.65 and 3,288.30

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Solution

The fourth proportional to 3,408.30, 5,113.65 and 3,288.30 is: 4,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.30 : 5,113.65 = 3,288.30 : x
  2. Step 2: Convert to fraction form
    3,408.30/5,113.65 = 3,288.30/x
  3. Step 3: Cross multiply
    3,408.30x = 5,113.65 × 3,288.30
  4. Step 4: Simplify right side
    3,408.30x = 16,815,215.30
  5. Step 5: Solve for x
    x = 16,815,215.30/3,408.30
  6. Step 6: Final answer
    x = 4,933.61

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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.