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Finding the Fourth Proportional to 3,757.96, 5,633.90 and 1,568.34

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Solution

The fourth proportional to 3,757.96, 5,633.90 and 1,568.34 is: 2,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.96 : 5,633.90 = 1,568.34 : x
  2. Step 2: Convert to fraction form
    3,757.96/5,633.90 = 1,568.34/x
  3. Step 3: Cross multiply
    3,757.96x = 5,633.90 × 1,568.34
  4. Step 4: Simplify right side
    3,757.96x = 8,835,870.73
  5. Step 5: Solve for x
    x = 8,835,870.73/3,757.96
  6. Step 6: Final answer
    x = 2,351.24

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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.