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Finding the Fourth Proportional to 3,836.64, 5,290.67 and 3,613.41

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Solution

The fourth proportional to 3,836.64, 5,290.67 and 3,613.41 is: 4,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.64 : 5,290.67 = 3,613.41 : x
  2. Step 2: Convert to fraction form
    3,836.64/5,290.67 = 3,613.41/x
  3. Step 3: Cross multiply
    3,836.64x = 5,290.67 × 3,613.41
  4. Step 4: Simplify right side
    3,836.64x = 19,117,341.82
  5. Step 5: Solve for x
    x = 19,117,341.82/3,836.64
  6. Step 6: Final answer
    x = 4,982.83

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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.