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Finding the Fourth Proportional to 5,198.09, 7,173.09 and 2,839.77

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Solution

The fourth proportional to 5,198.09, 7,173.09 and 2,839.77 is: 3,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.09 : 7,173.09 = 2,839.77 : x
  2. Step 2: Convert to fraction form
    5,198.09/7,173.09 = 2,839.77/x
  3. Step 3: Cross multiply
    5,198.09x = 7,173.09 × 2,839.77
  4. Step 4: Simplify right side
    5,198.09x = 20,369,925.79
  5. Step 5: Solve for x
    x = 20,369,925.79/5,198.09
  6. Step 6: Final answer
    x = 3,918.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.