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Finding the Fourth Proportional to 5,677.65, 8,517.69 and 1,729.08

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Solution

The fourth proportional to 5,677.65, 8,517.69 and 1,729.08 is: 2,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.65 : 8,517.69 = 1,729.08 : x
  2. Step 2: Convert to fraction form
    5,677.65/8,517.69 = 1,729.08/x
  3. Step 3: Cross multiply
    5,677.65x = 8,517.69 × 1,729.08
  4. Step 4: Simplify right side
    5,677.65x = 14,727,767.43
  5. Step 5: Solve for x
    x = 14,727,767.43/5,677.65
  6. Step 6: Final answer
    x = 2,593.99

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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.