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Finding the Fourth Proportional to 4,097.78, 5,654.88 and 2,234.78

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Solution

The fourth proportional to 4,097.78, 5,654.88 and 2,234.78 is: 3,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.78 : 5,654.88 = 2,234.78 : x
  2. Step 2: Convert to fraction form
    4,097.78/5,654.88 = 2,234.78/x
  3. Step 3: Cross multiply
    4,097.78x = 5,654.88 × 2,234.78
  4. Step 4: Simplify right side
    4,097.78x = 12,637,412.73
  5. Step 5: Solve for x
    x = 12,637,412.73/4,097.78
  6. Step 6: Final answer
    x = 3,083.97

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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.