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Finding the Fourth Proportional to 5,234.96, 7,852.30 and 2,460.96

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Solution

The fourth proportional to 5,234.96, 7,852.30 and 2,460.96 is: 3,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.96 : 7,852.30 = 2,460.96 : x
  2. Step 2: Convert to fraction form
    5,234.96/7,852.30 = 2,460.96/x
  3. Step 3: Cross multiply
    5,234.96x = 7,852.30 × 2,460.96
  4. Step 4: Simplify right side
    5,234.96x = 19,324,196.21
  5. Step 5: Solve for x
    x = 19,324,196.21/5,234.96
  6. Step 6: Final answer
    x = 3,691.37

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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.