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Finding the Fourth Proportional to 5,197.32, 7,172.32 and 2,839.48

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Solution

The fourth proportional to 5,197.32, 7,172.32 and 2,839.48 is: 3,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.32 : 7,172.32 = 2,839.48 : x
  2. Step 2: Convert to fraction form
    5,197.32/7,172.32 = 2,839.48/x
  3. Step 3: Cross multiply
    5,197.32x = 7,172.32 × 2,839.48
  4. Step 4: Simplify right side
    5,197.32x = 20,365,659.19
  5. Step 5: Solve for x
    x = 20,365,659.19/5,197.32
  6. Step 6: Final answer
    x = 3,918.49

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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.