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Finding the Fourth Proportional to 3,517.25, 5,274.81 and 1,176.65

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Solution

The fourth proportional to 3,517.25, 5,274.81 and 1,176.65 is: 1,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.25 : 5,274.81 = 1,176.65 : x
  2. Step 2: Convert to fraction form
    3,517.25/5,274.81 = 1,176.65/x
  3. Step 3: Cross multiply
    3,517.25x = 5,274.81 × 1,176.65
  4. Step 4: Simplify right side
    3,517.25x = 6,206,605.19
  5. Step 5: Solve for x
    x = 6,206,605.19/3,517.25
  6. Step 6: Final answer
    x = 1,764.62

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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.