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Finding the Fourth Proportional to 3,450.80, 4,762.86 and 2,272

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Solution

The fourth proportional to 3,450.80, 4,762.86 and 2,272 is: 3,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.80 : 4,762.86 = 2,272 : x
  2. Step 2: Convert to fraction form
    3,450.80/4,762.86 = 2,272/x
  3. Step 3: Cross multiply
    3,450.80x = 4,762.86 × 2,272
  4. Step 4: Simplify right side
    3,450.80x = 10,821,217.92
  5. Step 5: Solve for x
    x = 10,821,217.92/3,450.80
  6. Step 6: Final answer
    x = 3,135.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.