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Finding the Fourth Proportional to 5,678.26, 8,517.10 and 1,729.34

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Solution

The fourth proportional to 5,678.26, 8,517.10 and 1,729.34 is: 2,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.26 : 8,517.10 = 1,729.34 : x
  2. Step 2: Convert to fraction form
    5,678.26/8,517.10 = 1,729.34/x
  3. Step 3: Cross multiply
    5,678.26x = 8,517.10 × 1,729.34
  4. Step 4: Simplify right side
    5,678.26x = 14,728,961.71
  5. Step 5: Solve for x
    x = 14,728,961.71/5,678.26
  6. Step 6: Final answer
    x = 2,593.92

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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.