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Finding the Fourth Proportional to 3,653.44, 5,044.17 and 2,258.62

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Solution

The fourth proportional to 3,653.44, 5,044.17 and 2,258.62 is: 3,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.44 : 5,044.17 = 2,258.62 : x
  2. Step 2: Convert to fraction form
    3,653.44/5,044.17 = 2,258.62/x
  3. Step 3: Cross multiply
    3,653.44x = 5,044.17 × 2,258.62
  4. Step 4: Simplify right side
    3,653.44x = 11,392,859.10
  5. Step 5: Solve for x
    x = 11,392,859.10/3,653.44
  6. Step 6: Final answer
    x = 3,118.39

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Why These Related Problems?

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