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Finding the Fourth Proportional to 3,886.12, 5,818.38 and 3,022.12

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Solution

The fourth proportional to 3,886.12, 5,818.38 and 3,022.12 is: 4,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.12 : 5,818.38 = 3,022.12 : x
  2. Step 2: Convert to fraction form
    3,886.12/5,818.38 = 3,022.12/x
  3. Step 3: Cross multiply
    3,886.12x = 5,818.38 × 3,022.12
  4. Step 4: Simplify right side
    3,886.12x = 17,583,842.57
  5. Step 5: Solve for x
    x = 17,583,842.57/3,886.12
  6. Step 6: Final answer
    x = 4,524.78

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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.