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Finding the Fourth Proportional to 3,608.78, 5,414.11 and 1,528.86

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Solution

The fourth proportional to 3,608.78, 5,414.11 and 1,528.86 is: 2,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.78 : 5,414.11 = 1,528.86 : x
  2. Step 2: Convert to fraction form
    3,608.78/5,414.11 = 1,528.86/x
  3. Step 3: Cross multiply
    3,608.78x = 5,414.11 × 1,528.86
  4. Step 4: Simplify right side
    3,608.78x = 8,277,416.21
  5. Step 5: Solve for x
    x = 8,277,416.21/3,608.78
  6. Step 6: Final answer
    x = 2,293.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.