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Finding the Fourth Proportional to 4,910.94, 7,365.60 and 1,447.38

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Solution

The fourth proportional to 4,910.94, 7,365.60 and 1,447.38 is: 2,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.94 : 7,365.60 = 1,447.38 : x
  2. Step 2: Convert to fraction form
    4,910.94/7,365.60 = 1,447.38/x
  3. Step 3: Cross multiply
    4,910.94x = 7,365.60 × 1,447.38
  4. Step 4: Simplify right side
    4,910.94x = 10,660,822.13
  5. Step 5: Solve for x
    x = 10,660,822.13/4,910.94
  6. Step 6: Final answer
    x = 2,170.83

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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.