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Finding the Fourth Proportional to 5,321.28, 7,974.72 and 4,167.36

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Solution

The fourth proportional to 5,321.28, 7,974.72 and 4,167.36 is: 6,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.28 : 7,974.72 = 4,167.36 : x
  2. Step 2: Convert to fraction form
    5,321.28/7,974.72 = 4,167.36/x
  3. Step 3: Cross multiply
    5,321.28x = 7,974.72 × 4,167.36
  4. Step 4: Simplify right side
    5,321.28x = 33,233,529.14
  5. Step 5: Solve for x
    x = 33,233,529.14/5,321.28
  6. Step 6: Final answer
    x = 6,245.40

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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.