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Finding the Fourth Proportional to 5,613.27, 8,414.40 and 4,782.21

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Solution

The fourth proportional to 5,613.27, 8,414.40 and 4,782.21 is: 7,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.27 : 8,414.40 = 4,782.21 : x
  2. Step 2: Convert to fraction form
    5,613.27/8,414.40 = 4,782.21/x
  3. Step 3: Cross multiply
    5,613.27x = 8,414.40 × 4,782.21
  4. Step 4: Simplify right side
    5,613.27x = 40,239,361.84
  5. Step 5: Solve for x
    x = 40,239,361.84/5,613.27
  6. Step 6: Final answer
    x = 7,168.62

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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.