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Finding the Fourth Proportional to 5,995.94, 8,266.32 and 4,201.00

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Solution

The fourth proportional to 5,995.94, 8,266.32 and 4,201.00 is: 5,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.94 : 8,266.32 = 4,201.00 : x
  2. Step 2: Convert to fraction form
    5,995.94/8,266.32 = 4,201.00/x
  3. Step 3: Cross multiply
    5,995.94x = 8,266.32 × 4,201.00
  4. Step 4: Simplify right side
    5,995.94x = 34,726,789.65
  5. Step 5: Solve for x
    x = 34,726,789.65/5,995.94
  6. Step 6: Final answer
    x = 5,791.72

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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.