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Finding the Fourth Proportional to 4,895.91, 7,343.83 and 1,198.19

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Solution

The fourth proportional to 4,895.91, 7,343.83 and 1,198.19 is: 1,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.91 : 7,343.83 = 1,198.19 : x
  2. Step 2: Convert to fraction form
    4,895.91/7,343.83 = 1,198.19/x
  3. Step 3: Cross multiply
    4,895.91x = 7,343.83 × 1,198.19
  4. Step 4: Simplify right side
    4,895.91x = 8,799,322.03
  5. Step 5: Solve for x
    x = 8,799,322.03/4,895.91
  6. Step 6: Final answer
    x = 1,797.28

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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.