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Finding the Fourth Proportional to 4,958.88, 7,438.24 and 4,033.28

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Solution

The fourth proportional to 4,958.88, 7,438.24 and 4,033.28 is: 6,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.88 : 7,438.24 = 4,033.28 : x
  2. Step 2: Convert to fraction form
    4,958.88/7,438.24 = 4,033.28/x
  3. Step 3: Cross multiply
    4,958.88x = 7,438.24 × 4,033.28
  4. Step 4: Simplify right side
    4,958.88x = 30,000,504.63
  5. Step 5: Solve for x
    x = 30,000,504.63/4,958.88
  6. Step 6: Final answer
    x = 6,049.85

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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.