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Finding the Fourth Proportional to 6,082.90, 9,104.88 and 3,157.18

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Solution

The fourth proportional to 6,082.90, 9,104.88 and 3,157.18 is: 4,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.90 : 9,104.88 = 3,157.18 : x
  2. Step 2: Convert to fraction form
    6,082.90/9,104.88 = 3,157.18/x
  3. Step 3: Cross multiply
    6,082.90x = 9,104.88 × 3,157.18
  4. Step 4: Simplify right side
    6,082.90x = 28,745,745.04
  5. Step 5: Solve for x
    x = 28,745,745.04/6,082.90
  6. Step 6: Final answer
    x = 4,725.66

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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.