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Finding the Fourth Proportional to 4,097.26, 5,654.22 and 2,328.82

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Solution

The fourth proportional to 4,097.26, 5,654.22 and 2,328.82 is: 3,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.26 : 5,654.22 = 2,328.82 : x
  2. Step 2: Convert to fraction form
    4,097.26/5,654.22 = 2,328.82/x
  3. Step 3: Cross multiply
    4,097.26x = 5,654.22 × 2,328.82
  4. Step 4: Simplify right side
    4,097.26x = 13,167,660.62
  5. Step 5: Solve for x
    x = 13,167,660.62/4,097.26
  6. Step 6: Final answer
    x = 3,213.77

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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.