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Finding the Fourth Proportional to 5,238.64, 7,857.96 and 2,316.24

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Solution

The fourth proportional to 5,238.64, 7,857.96 and 2,316.24 is: 3,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.64 : 7,857.96 = 2,316.24 : x
  2. Step 2: Convert to fraction form
    5,238.64/7,857.96 = 2,316.24/x
  3. Step 3: Cross multiply
    5,238.64x = 7,857.96 × 2,316.24
  4. Step 4: Simplify right side
    5,238.64x = 18,200,921.27
  5. Step 5: Solve for x
    x = 18,200,921.27/5,238.64
  6. Step 6: Final answer
    x = 3,474.36

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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.