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Finding the Fourth Proportional to 3,311.54, 4,559.91 and 3,238.64

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Solution

The fourth proportional to 3,311.54, 4,559.91 and 3,238.64 is: 4,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.54 : 4,559.91 = 3,238.64 : x
  2. Step 2: Convert to fraction form
    3,311.54/4,559.91 = 3,238.64/x
  3. Step 3: Cross multiply
    3,311.54x = 4,559.91 × 3,238.64
  4. Step 4: Simplify right side
    3,311.54x = 14,767,906.92
  5. Step 5: Solve for x
    x = 14,767,906.92/3,311.54
  6. Step 6: Final answer
    x = 4,459.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.