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Finding the Fourth Proportional to 4,097.67, 5,654.70 and 2,234.67

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Solution

The fourth proportional to 4,097.67, 5,654.70 and 2,234.67 is: 3,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.67 : 5,654.70 = 2,234.67 : x
  2. Step 2: Convert to fraction form
    4,097.67/5,654.70 = 2,234.67/x
  3. Step 3: Cross multiply
    4,097.67x = 5,654.70 × 2,234.67
  4. Step 4: Simplify right side
    4,097.67x = 12,636,388.45
  5. Step 5: Solve for x
    x = 12,636,388.45/4,097.67
  6. Step 6: Final answer
    x = 3,083.80

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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.