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Finding the Fourth Proportional to 5,741.16, 7,922.13 and 3,222.72

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Solution

The fourth proportional to 5,741.16, 7,922.13 and 3,222.72 is: 4,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.16 : 7,922.13 = 3,222.72 : x
  2. Step 2: Convert to fraction form
    5,741.16/7,922.13 = 3,222.72/x
  3. Step 3: Cross multiply
    5,741.16x = 7,922.13 × 3,222.72
  4. Step 4: Simplify right side
    5,741.16x = 25,530,806.79
  5. Step 5: Solve for x
    x = 25,530,806.79/5,741.16
  6. Step 6: Final answer
    x = 4,446.98

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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.