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Finding the Fourth Proportional to 5,236.25, 7,857.98 and 2,158.25

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Solution

The fourth proportional to 5,236.25, 7,857.98 and 2,158.25 is: 3,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.25 : 7,857.98 = 2,158.25 : x
  2. Step 2: Convert to fraction form
    5,236.25/7,857.98 = 2,158.25/x
  3. Step 3: Cross multiply
    5,236.25x = 7,857.98 × 2,158.25
  4. Step 4: Simplify right side
    5,236.25x = 16,959,485.34
  5. Step 5: Solve for x
    x = 16,959,485.34/5,236.25
  6. Step 6: Final answer
    x = 3,238.86

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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.