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Finding the Fourth Proportional to 5,234.67, 7,231.01 and 4,252.14

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Solution

The fourth proportional to 5,234.67, 7,231.01 and 4,252.14 is: 5,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.67 : 7,231.01 = 4,252.14 : x
  2. Step 2: Convert to fraction form
    5,234.67/7,231.01 = 4,252.14/x
  3. Step 3: Cross multiply
    5,234.67x = 7,231.01 × 4,252.14
  4. Step 4: Simplify right side
    5,234.67x = 30,747,266.86
  5. Step 5: Solve for x
    x = 30,747,266.86/5,234.67
  6. Step 6: Final answer
    x = 5,873.77

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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.