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Finding the Fourth Proportional to 4,964.94, 7,447.82 and 2,498.49

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Solution

The fourth proportional to 4,964.94, 7,447.82 and 2,498.49 is: 3,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.94 : 7,447.82 = 2,498.49 : x
  2. Step 2: Convert to fraction form
    4,964.94/7,447.82 = 2,498.49/x
  3. Step 3: Cross multiply
    4,964.94x = 7,447.82 × 2,498.49
  4. Step 4: Simplify right side
    4,964.94x = 18,608,291.30
  5. Step 5: Solve for x
    x = 18,608,291.30/4,964.94
  6. Step 6: Final answer
    x = 3,747.94

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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.