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Finding the Fourth Proportional to 3,822.96, 5,734.46 and 1,049.67

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Solution

The fourth proportional to 3,822.96, 5,734.46 and 1,049.67 is: 1,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.96 : 5,734.46 = 1,049.67 : x
  2. Step 2: Convert to fraction form
    3,822.96/5,734.46 = 1,049.67/x
  3. Step 3: Cross multiply
    3,822.96x = 5,734.46 × 1,049.67
  4. Step 4: Simplify right side
    3,822.96x = 6,019,306.88
  5. Step 5: Solve for x
    x = 6,019,306.88/3,822.96
  6. Step 6: Final answer
    x = 1,574.51

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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.