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Finding the Fourth Proportional to 4,910.70, 7,367.13 and 1,447.86

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Solution

The fourth proportional to 4,910.70, 7,367.13 and 1,447.86 is: 2,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.70 : 7,367.13 = 1,447.86 : x
  2. Step 2: Convert to fraction form
    4,910.70/7,367.13 = 1,447.86/x
  3. Step 3: Cross multiply
    4,910.70x = 7,367.13 × 1,447.86
  4. Step 4: Simplify right side
    4,910.70x = 10,666,572.84
  5. Step 5: Solve for x
    x = 10,666,572.84/4,910.70
  6. Step 6: Final answer
    x = 2,172.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.