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Finding the Fourth Proportional to 4,910.57, 7,367.10 and 1,447.82

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Solution

The fourth proportional to 4,910.57, 7,367.10 and 1,447.82 is: 2,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.57 : 7,367.10 = 1,447.82 : x
  2. Step 2: Convert to fraction form
    4,910.57/7,367.10 = 1,447.82/x
  3. Step 3: Cross multiply
    4,910.57x = 7,367.10 × 1,447.82
  4. Step 4: Simplify right side
    4,910.57x = 10,666,234.72
  5. Step 5: Solve for x
    x = 10,666,234.72/4,910.57
  6. Step 6: Final answer
    x = 2,172.10

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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.