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Finding the Fourth Proportional to 4,302.80, 6,446.19 and 3,613.94

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Solution

The fourth proportional to 4,302.80, 6,446.19 and 3,613.94 is: 5,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.80 : 6,446.19 = 3,613.94 : x
  2. Step 2: Convert to fraction form
    4,302.80/6,446.19 = 3,613.94/x
  3. Step 3: Cross multiply
    4,302.80x = 6,446.19 × 3,613.94
  4. Step 4: Simplify right side
    4,302.80x = 23,296,143.89
  5. Step 5: Solve for x
    x = 23,296,143.89/4,302.80
  6. Step 6: Final answer
    x = 5,414.18

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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.