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Finding the Fourth Proportional to 3,760.26, 5,640.90 and 1,568.46

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Solution

The fourth proportional to 3,760.26, 5,640.90 and 1,568.46 is: 2,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.26 : 5,640.90 = 1,568.46 : x
  2. Step 2: Convert to fraction form
    3,760.26/5,640.90 = 1,568.46/x
  3. Step 3: Cross multiply
    3,760.26x = 5,640.90 × 1,568.46
  4. Step 4: Simplify right side
    3,760.26x = 8,847,526.01
  5. Step 5: Solve for x
    x = 8,847,526.01/3,760.26
  6. Step 6: Final answer
    x = 2,352.90

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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.