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Finding the Fourth Proportional to 5,398.73, 7,450.38 and 2,976.17

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Solution

The fourth proportional to 5,398.73, 7,450.38 and 2,976.17 is: 4,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.73 : 7,450.38 = 2,976.17 : x
  2. Step 2: Convert to fraction form
    5,398.73/7,450.38 = 2,976.17/x
  3. Step 3: Cross multiply
    5,398.73x = 7,450.38 × 2,976.17
  4. Step 4: Simplify right side
    5,398.73x = 22,173,581.15
  5. Step 5: Solve for x
    x = 22,173,581.15/5,398.73
  6. Step 6: Final answer
    x = 4,107.19

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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.