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Finding the Fourth Proportional to 3,805.97, 5,252.24 and 2,104.52

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Solution

The fourth proportional to 3,805.97, 5,252.24 and 2,104.52 is: 2,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.97 : 5,252.24 = 2,104.52 : x
  2. Step 2: Convert to fraction form
    3,805.97/5,252.24 = 2,104.52/x
  3. Step 3: Cross multiply
    3,805.97x = 5,252.24 × 2,104.52
  4. Step 4: Simplify right side
    3,805.97x = 11,053,407.34
  5. Step 5: Solve for x
    x = 11,053,407.34/3,805.97
  6. Step 6: Final answer
    x = 2,904.23

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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.