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Finding the Fourth Proportional to 3,815.33, 5,265.79 and 2,323.82

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Solution

The fourth proportional to 3,815.33, 5,265.79 and 2,323.82 is: 3,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.33 : 5,265.79 = 2,323.82 : x
  2. Step 2: Convert to fraction form
    3,815.33/5,265.79 = 2,323.82/x
  3. Step 3: Cross multiply
    3,815.33x = 5,265.79 × 2,323.82
  4. Step 4: Simplify right side
    3,815.33x = 12,236,755.47
  5. Step 5: Solve for x
    x = 12,236,755.47/3,815.33
  6. Step 6: Final answer
    x = 3,207.26

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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.