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Finding the Fourth Proportional to 5,741.18, 7,922.84 and 3,257.18

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Solution

The fourth proportional to 5,741.18, 7,922.84 and 3,257.18 is: 4,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.18 : 7,922.84 = 3,257.18 : x
  2. Step 2: Convert to fraction form
    5,741.18/7,922.84 = 3,257.18/x
  3. Step 3: Cross multiply
    5,741.18x = 7,922.84 × 3,257.18
  4. Step 4: Simplify right side
    5,741.18x = 25,806,115.99
  5. Step 5: Solve for x
    x = 25,806,115.99/5,741.18
  6. Step 6: Final answer
    x = 4,494.91

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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.