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Finding the Fourth Proportional to 5,959.72, 8,227.48 and 4,199.19

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Solution

The fourth proportional to 5,959.72, 8,227.48 and 4,199.19 is: 5,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.72 : 8,227.48 = 4,199.19 : x
  2. Step 2: Convert to fraction form
    5,959.72/8,227.48 = 4,199.19/x
  3. Step 3: Cross multiply
    5,959.72x = 8,227.48 × 4,199.19
  4. Step 4: Simplify right side
    5,959.72x = 34,548,731.17
  5. Step 5: Solve for x
    x = 34,548,731.17/5,959.72
  6. Step 6: Final answer
    x = 5,797.04

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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.