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Finding the Fourth Proportional to 4,049.57, 5,570.84 and 3,301.90

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Solution

The fourth proportional to 4,049.57, 5,570.84 and 3,301.90 is: 4,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.57 : 5,570.84 = 3,301.90 : x
  2. Step 2: Convert to fraction form
    4,049.57/5,570.84 = 3,301.90/x
  3. Step 3: Cross multiply
    4,049.57x = 5,570.84 × 3,301.90
  4. Step 4: Simplify right side
    4,049.57x = 18,394,350.92
  5. Step 5: Solve for x
    x = 18,394,350.92/4,049.57
  6. Step 6: Final answer
    x = 4,542.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.