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Finding the Fourth Proportional to 5,804.49, 8,004.31 and 4,967.97

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Solution

The fourth proportional to 5,804.49, 8,004.31 and 4,967.97 is: 6,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.49 : 8,004.31 = 4,967.97 : x
  2. Step 2: Convert to fraction form
    5,804.49/8,004.31 = 4,967.97/x
  3. Step 3: Cross multiply
    5,804.49x = 8,004.31 × 4,967.97
  4. Step 4: Simplify right side
    5,804.49x = 39,765,171.95
  5. Step 5: Solve for x
    x = 39,765,171.95/5,804.49
  6. Step 6: Final answer
    x = 6,850.76

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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.