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Finding the Fourth Proportional to 5,650.96, 8,470.14 and 2,361.82

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Solution

The fourth proportional to 5,650.96, 8,470.14 and 2,361.82 is: 3,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.96 : 8,470.14 = 2,361.82 : x
  2. Step 2: Convert to fraction form
    5,650.96/8,470.14 = 2,361.82/x
  3. Step 3: Cross multiply
    5,650.96x = 8,470.14 × 2,361.82
  4. Step 4: Simplify right side
    5,650.96x = 20,004,946.05
  5. Step 5: Solve for x
    x = 20,004,946.05/5,650.96
  6. Step 6: Final answer
    x = 3,540.10

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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.