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Finding the Fourth Proportional to 4,728.62, 7,082.12 and 2,265.18

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Solution

The fourth proportional to 4,728.62, 7,082.12 and 2,265.18 is: 3,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.62 : 7,082.12 = 2,265.18 : x
  2. Step 2: Convert to fraction form
    4,728.62/7,082.12 = 2,265.18/x
  3. Step 3: Cross multiply
    4,728.62x = 7,082.12 × 2,265.18
  4. Step 4: Simplify right side
    4,728.62x = 16,042,276.58
  5. Step 5: Solve for x
    x = 16,042,276.58/4,728.62
  6. Step 6: Final answer
    x = 3,392.59

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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.