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Finding the Fourth Proportional to 3,608.86, 5,406.38 and 2,143.56

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Solution

The fourth proportional to 3,608.86, 5,406.38 and 2,143.56 is: 3,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.86 : 5,406.38 = 2,143.56 : x
  2. Step 2: Convert to fraction form
    3,608.86/5,406.38 = 2,143.56/x
  3. Step 3: Cross multiply
    3,608.86x = 5,406.38 × 2,143.56
  4. Step 4: Simplify right side
    3,608.86x = 11,588,899.91
  5. Step 5: Solve for x
    x = 11,588,899.91/3,608.86
  6. Step 6: Final answer
    x = 3,211.24

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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.