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Finding the Fourth Proportional to 5,191.24, 7,164.48 and 3,201.88

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Solution

The fourth proportional to 5,191.24, 7,164.48 and 3,201.88 is: 4,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.24 : 7,164.48 = 3,201.88 : x
  2. Step 2: Convert to fraction form
    5,191.24/7,164.48 = 3,201.88/x
  3. Step 3: Cross multiply
    5,191.24x = 7,164.48 × 3,201.88
  4. Step 4: Simplify right side
    5,191.24x = 22,939,805.22
  5. Step 5: Solve for x
    x = 22,939,805.22/5,191.24
  6. Step 6: Final answer
    x = 4,418.95

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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.