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Finding the Fourth Proportional to 4,162.89, 5,743.13 and 3,708.42

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Solution

The fourth proportional to 4,162.89, 5,743.13 and 3,708.42 is: 5,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.89 : 5,743.13 = 3,708.42 : x
  2. Step 2: Convert to fraction form
    4,162.89/5,743.13 = 3,708.42/x
  3. Step 3: Cross multiply
    4,162.89x = 5,743.13 × 3,708.42
  4. Step 4: Simplify right side
    4,162.89x = 21,297,919.61
  5. Step 5: Solve for x
    x = 21,297,919.61/4,162.89
  6. Step 6: Final answer
    x = 5,116.14

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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.