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Finding the Fourth Proportional to 4,651.38, 6,974.16 and 1,727.28

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Solution

The fourth proportional to 4,651.38, 6,974.16 and 1,727.28 is: 2,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.38 : 6,974.16 = 1,727.28 : x
  2. Step 2: Convert to fraction form
    4,651.38/6,974.16 = 1,727.28/x
  3. Step 3: Cross multiply
    4,651.38x = 6,974.16 × 1,727.28
  4. Step 4: Simplify right side
    4,651.38x = 12,046,327.08
  5. Step 5: Solve for x
    x = 12,046,327.08/4,651.38
  6. Step 6: Final answer
    x = 2,589.84

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Why These Related Problems?

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