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Finding the Fourth Proportional to 3,212.97, 4,821.35 and 1,265.73

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Solution

The fourth proportional to 3,212.97, 4,821.35 and 1,265.73 is: 1,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.97 : 4,821.35 = 1,265.73 : x
  2. Step 2: Convert to fraction form
    3,212.97/4,821.35 = 1,265.73/x
  3. Step 3: Cross multiply
    3,212.97x = 4,821.35 × 1,265.73
  4. Step 4: Simplify right side
    3,212.97x = 6,102,521.01
  5. Step 5: Solve for x
    x = 6,102,521.01/3,212.97
  6. Step 6: Final answer
    x = 1,899.34

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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.