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Finding the Fourth Proportional to 4,847.97, 7,270.91 and 2,214.72

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Solution

The fourth proportional to 4,847.97, 7,270.91 and 2,214.72 is: 3,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.97 : 7,270.91 = 2,214.72 : x
  2. Step 2: Convert to fraction form
    4,847.97/7,270.91 = 2,214.72/x
  3. Step 3: Cross multiply
    4,847.97x = 7,270.91 × 2,214.72
  4. Step 4: Simplify right side
    4,847.97x = 16,103,029.80
  5. Step 5: Solve for x
    x = 16,103,029.80/4,847.97
  6. Step 6: Final answer
    x = 3,321.60

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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.