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Finding the Fourth Proportional to 5,616.16, 8,430 and 3,974.56

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Solution

The fourth proportional to 5,616.16, 8,430 and 3,974.56 is: 5,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.16 : 8,430 = 3,974.56 : x
  2. Step 2: Convert to fraction form
    5,616.16/8,430 = 3,974.56/x
  3. Step 3: Cross multiply
    5,616.16x = 8,430 × 3,974.56
  4. Step 4: Simplify right side
    5,616.16x = 33,505,540.80
  5. Step 5: Solve for x
    x = 33,505,540.80/5,616.16
  6. Step 6: Final answer
    x = 5,965.92

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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.