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Finding the Fourth Proportional to 5,103.36, 7,657.11 and 3,458.97

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Solution

The fourth proportional to 5,103.36, 7,657.11 and 3,458.97 is: 5,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.36 : 7,657.11 = 3,458.97 : x
  2. Step 2: Convert to fraction form
    5,103.36/7,657.11 = 3,458.97/x
  3. Step 3: Cross multiply
    5,103.36x = 7,657.11 × 3,458.97
  4. Step 4: Simplify right side
    5,103.36x = 26,485,713.78
  5. Step 5: Solve for x
    x = 26,485,713.78/5,103.36
  6. Step 6: Final answer
    x = 5,189.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.