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Finding the Fourth Proportional to 4,097.53, 5,654.60 and 2,234.53

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Solution

The fourth proportional to 4,097.53, 5,654.60 and 2,234.53 is: 3,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.53 : 5,654.60 = 2,234.53 : x
  2. Step 2: Convert to fraction form
    4,097.53/5,654.60 = 2,234.53/x
  3. Step 3: Cross multiply
    4,097.53x = 5,654.60 × 2,234.53
  4. Step 4: Simplify right side
    4,097.53x = 12,635,377.61
  5. Step 5: Solve for x
    x = 12,635,377.61/4,097.53
  6. Step 6: Final answer
    x = 3,083.66

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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.