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Finding the Fourth Proportional to 4,910.63, 7,366.14 and 1,447.88

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Solution

The fourth proportional to 4,910.63, 7,366.14 and 1,447.88 is: 2,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.63 : 7,366.14 = 1,447.88 : x
  2. Step 2: Convert to fraction form
    4,910.63/7,366.14 = 1,447.88/x
  3. Step 3: Cross multiply
    4,910.63x = 7,366.14 × 1,447.88
  4. Step 4: Simplify right side
    4,910.63x = 10,665,249.95
  5. Step 5: Solve for x
    x = 10,665,249.95/4,910.63
  6. Step 6: Final answer
    x = 2,171.87

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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.