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Finding the Fourth Proportional to 5,959.98, 8,226.29 and 4,072.33

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Solution

The fourth proportional to 5,959.98, 8,226.29 and 4,072.33 is: 5,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.98 : 8,226.29 = 4,072.33 : x
  2. Step 2: Convert to fraction form
    5,959.98/8,226.29 = 4,072.33/x
  3. Step 3: Cross multiply
    5,959.98x = 8,226.29 × 4,072.33
  4. Step 4: Simplify right side
    5,959.98x = 33,500,106.06
  5. Step 5: Solve for x
    x = 33,500,106.06/5,959.98
  6. Step 6: Final answer
    x = 5,620.84

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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.