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Finding the Fourth Proportional to 5,974.97, 8,967.92 and 3,055.32

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Solution

The fourth proportional to 5,974.97, 8,967.92 and 3,055.32 is: 4,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.97 : 8,967.92 = 3,055.32 : x
  2. Step 2: Convert to fraction form
    5,974.97/8,967.92 = 3,055.32/x
  3. Step 3: Cross multiply
    5,974.97x = 8,967.92 × 3,055.32
  4. Step 4: Simplify right side
    5,974.97x = 27,399,850.06
  5. Step 5: Solve for x
    x = 27,399,850.06/5,974.97
  6. Step 6: Final answer
    x = 4,585.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.