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Finding the Fourth Proportional to 3,294.56, 4,540.96 and 2,497.64

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Solution

The fourth proportional to 3,294.56, 4,540.96 and 2,497.64 is: 3,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.56 : 4,540.96 = 2,497.64 : x
  2. Step 2: Convert to fraction form
    3,294.56/4,540.96 = 2,497.64/x
  3. Step 3: Cross multiply
    3,294.56x = 4,540.96 × 2,497.64
  4. Step 4: Simplify right side
    3,294.56x = 11,341,663.75
  5. Step 5: Solve for x
    x = 11,341,663.75/3,294.56
  6. Step 6: Final answer
    x = 3,442.54

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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.