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Finding the Fourth Proportional to 5,234.70, 7,230.27 and 3,914.27

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Solution

The fourth proportional to 5,234.70, 7,230.27 and 3,914.27 is: 5,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.70 : 7,230.27 = 3,914.27 : x
  2. Step 2: Convert to fraction form
    5,234.70/7,230.27 = 3,914.27/x
  3. Step 3: Cross multiply
    5,234.70x = 7,230.27 × 3,914.27
  4. Step 4: Simplify right side
    5,234.70x = 28,301,192.80
  5. Step 5: Solve for x
    x = 28,301,192.80/5,234.70
  6. Step 6: Final answer
    x = 5,406.46

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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.